Publishing type：Research paper (scientific journal)   Publisher：Mathematical Society of Japan (Project Euclid)  

DOI： 10.2969/jmsj/07017501

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Publishing type：Research paper (scientific journal)   Publisher：Project Muse  

DOI： 10.1353/ajm.2017.0002

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Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

DOI： 10.1007/s00029-016-0233-2

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Other Link： http://link.springer.com/article/10.1007/s00029-016-0233-2/fulltext.html

Language：English   Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

New duality transformation formulas are proposed for multiple elliptic
hypergeometric series of type $BC$ and of type $C$. Various transformation and
summation formulas are derived as special cases to recover some previously
known results.

DOI： 10.1007/s00365-015-9316-0

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Other Link： http://link.springer.com/article/10.1007/s00365-015-9316-0/fulltext.html

Language：English   Publishing type：Research paper (scientific journal)   Publisher：SPRINGER HEIDELBERG  

We prove that all but finitely many zeros of Weng's zeta function for a Chevalley group defined over Q are simple and on the critical line.

DOI： 10.1007/s00229-015-0736-8

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We define zeta-functions of weight lattices of compact connected semisimple
Lie groups. If the group is simply-connected, these zeta-functions coincide
with ordinary zeta-functions of root systems of associated Lie algebras. In
this paper we consider the general connected (but not necessarily
simply-connected) case, prove the explicit form of Witten's volume formulas for
these zeta-functions, and further prove functional relations among them which
include their volume formulas.

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：Cambridge University Press (CUP)  

<title>Abstract</title>We study the values of the zeta-function of the root system of type <italic>G</italic>₂ at positive integer points. In our previous work we considered the case when all integers are even, but in the present paper we prove several theorems which include the situation when some of the integers are odd. The underlying reason why we may treat such cases, including odd integers, is also discussed.

DOI： 10.1017/s0017089514000160

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Publishing type：Research paper (scientific journal)   Publisher：Adam Mickiewicz University (Euclid)  

We study multiple zeta values (MZVs) from the viewpoint of zeta-functions
associated with the root systems which we have studied in our previous papers.
In fact, the $r$-ple zeta-functions of Euler-Zagier type can be regarded as the
zeta-function associated with a certain sub-root system of type $C_r$. Hence,
by the action of the Weyl group, we can find new aspects of MZVs which imply
that the well-known formula for MZVs given by Hoffman and Zagier coincides with
Witten's volume formula associated with the above sub-root system of type
$C_r$. Also, from this observation, we can prove some new formulas which
especially include the parity results of double and triple zeta values. As
another important application, we give certain refinement of restricted sum
formulas, which gives restricted sum formulas among MZVs of an arbitrary depth
$r$ which were previously known only in the cases of depth $2,3,4$.
Furthermore, considering a sub-root system of type $B_r$ analogously, we can
give relevant analogues of the Hoffman-Zagier formula, parity results and
restricted sum formulas.

DOI： 10.7169/facm/2014.51.1.3

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Language：English   Publisher：SPRINGER  

In the former part of this paper, we summarize our previous results on
infinite series involving the hyperbolic sine function, especially, with a
focus on the hyperbolic sine analogue of Eisenstein series. Those are based on
the classical results given by Cauchy, Mellin and Kronecker. In the latter
part, we give new formulas for some infinite series involving the hyperbolic
cosine function.

DOI： 10.1007/s10986-015-9268-x

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Language：English  

We introduce certain lattice sums associated with hyperplane arrangements,
which are (multiple) sums running over integers, and can be regarded as
generalizations of certain linear combinations of zeta-functions of root
systems. We also introduce generating functions of special values of those
lattice sums, and study their properties by virtue of the theory of convex
polytopes. Consequently we evaluate special values of those lattice sums,
especially certain special values of zeta-functions of root systems and their
affine analogues. In some special cases it is possible to treat sums running
over positive integers, which may be regarded as zeta-functions associated with
hyperplane arrangements.

DOI： 10.14992/00010883

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：WALTER DE GRUYTER GMBH  

We consider certain double series of Eisenstein type involving hyperbolic-sine functions. We define certain generalized Hurwitz numbers, in terms of which we evaluate those double series. Our main results can be regarded as a certain generalization of well-known results of Hurwitz, Herglotz, Katayama and so on. Our results also include recent formulas of the third-named author which are double analogues of the formulas of Cauchy, Mellin, Ramanujan, Berndt and so on, about certain Dirichlet series involving hyperbolic functions. As an application, we give some evaluation formulas for q-zeta functions at positive integers.

DOI： 10.1515/forum-2011-0300

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We are interested in the harmonic analysis on $p$-adic homogeneous spaces
based on spherical functions. In the present paper, we investigate the space
$X$ of unitary hermitian matrices of odd size over a ${\mathfrak p}$-adic field
of odd residual characteristic, which is a continuation of our previous paper
where we have studied for even size matrices. First we give the explicit
representatives of the Cartan decomposition of $X$ and introduce a typical
spherical function $\omega(x;z)$ on $X$. After studying the functional
equations, we give an explicit formula for $\omega(x;z)$, where Hall-Littlewood
polynomials of type $C_n$ appear as a main term, though the unitary group
acting on $X$ is of type $BC_n$. By spherical transform, we show the Schwartz
space ${\mathcal S}(K \backslash X)$ is a free Hecke algebra ${\mathcal H}(G,
K)$-module of rank $2^n$, where $2n+1$ is the size of matrices in $X$, and give
parametrization of all the spherical functions on $X$ and the explicit
Plancherel formula on ${\mathcal S}(K \backslash X)$.

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：Project Muse  

It is shown that Weng's zeta functions associated with arbitrary semisimple
algebraic groups defined over the rational number field and their maximal
parabolic subgroups satisfy the functional equations.

DOI： 10.1353/ajm.2013.0032

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Language：English   Publisher：RAMANUJAN MATHEMATICAL SOC  

In the former part of this paper, we give functional equations for Barnes
multiple zeta-functions and consider some relevant results. In particular, we
show that Ramanujan's classical formula for the Riemann zeta values can be
derived from functional equations for Barnes zeta-functions. In the latter half
part, we generalize some evaluation formulas of certain series involving
hyperbolic functions in terms of Bernoulli polynomials. The original formulas
were classically given by Cauchy, Mellin, Ramanujan, and later recovered and
formulated by Berndt. From our consideration, we give multiple versions of
these known formulas.

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Language：English   Publisher：WORLD SCIENTIFIC PUBL CO PTE LTD  

We investigate the space $X$ of unitary hermitian matrices over $\frp$-adic
fields through spherical functions. First we consider Cartan decomposition of
$X$, and give precise representatives for fields with odd residual
characteristic, i.e., $2\notin \frp$. In the latter half we assume odd residual
characteristic, and give explicit formulas of typical spherical functions on
$X$, where Hall-Littlewood symmetric polynomials of type $C_n$ appear as a main
term, parametrization of all the spherical functions. By spherical Fourier
transform, we show the Schwartz space $\SKX$ is a free Hecke algebra
$\hec$-module of rank $2^n$, where $2n$ is the size of matrices in $X$, and
give the explicit Plancherel formula on $\SKX$.

DOI： 10.1142/S1793042113501066

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Language：English   Publisher：TEV LTD  

We study zeta-functions of weight lattices of compact connected semisimple
Lie groups of type $A_3$. Actually we consider zeta-functions of SU(4), SO(6)
and PU(4), and give some functional relations and new classes of evaluation
formulas for them.

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Language：English   Publishing type：Part of collection (book)   Publisher：Birkhäuser Boston  

We prove certain general forms of functional relations among Witten multiple
zeta-functions in several variables (or zeta-functions of root systems). The
structural background of those functional relations is given by the symmetry
with respect to Weyl groups. From those relations we can deduce explicit
expressions of values of Witten zeta-functions at positive even integers, which
is written in terms of generalized Bernoulli numbers of root systems.
Furthermore we introduce generating functions of those Bernoulli numbers of
root systems, by which we can give an algorithm of calculating Bernoulli
numbers of root systems.

DOI： 10.1007/978-0-8176-8334-4_11

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：WORLD SCIENTIFIC PUBL CO PTE LTD  

We consider double L-functions with periodic coefficients and complex parameters. We prove functional equations for them, which is of traditional symmetric form on certain hyperplanes. These are character analogs of our previous result on double zeta-functions. We further evaluate double L-functions at non-positive integers and construct certain p-adic double L-functions.

DOI： 10.1142/S1793042111004551

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

The shuffle product plays an important role in the study of multiple zeta
values. This is expressed in terms of multiple integrals, and also as a product
in a certain non-commutative polynomial algebra over the rationals in two
indeterminates. In this paper, we give a new interpretation of the shuffle
product. In fact, we prove that the procedure of shuffle products essentially
coincides with that of partial fraction decompositions of multiple zeta values
of root systems. As an application, we give a proof of extended double shuffle
relations without using Drinfel'd integral expressions for multiple zeta
values. Furthermore, our argument enables us to give some functional relations
which include double shuffle relations.

DOI： 10.1007/s00209-010-0705-6

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Other Link： http://link.springer.com/article/10.1007/s00209-010-0705-6/fulltext.html

Language：English   Publishing type：Research paper (scientific journal)   Publisher：JAPAN ACAD  

We propose the viewpoint that the r-ple zeta-function of Euler-Zagier type can be regarded as a specialization of the zeta-function associated with the root system of C-r type. From this viewpoint, we can see that Zagier's well-known formula for multiple zeta values (MZVs) coincides with Witten's volume formula associated with a sub-root system of C-r type. Based on this observation, we generalize Zagier's formula and also give analogous results which correspond to a sub-root system of B-r type. We announce those results as well as some relevant results for partial multiple zeta values.

DOI： 10.3792/pjaa.87.103

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Language：English   Publisher：Rikkyo University  

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Language：English   Publishing type：Research paper (international conference proceedings)   Publisher：RESEARCH INST MATHEMATICAL SCIENCES, KYOTO UNIV  

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：Cambridge University Press (CUP)  

<title>Abstract</title>In our previous work, we established the theory of multi-variable Witten zeta-functions, which are called the zeta-functions of root systems. We have already considered the cases of types <italic>A</italic>₂, <italic>A</italic>₃, <italic>B</italic>₂, <italic>B</italic>₃ and <italic>C</italic>₃. In this paper, we consider the case of <italic>G</italic>₂-type. We define certain analogues of Bernoulli polynomials of <italic>G</italic>₂-type and study the generating functions of them to determine the coefficients of Witten's volume formulas of <italic>G</italic>₂-type. Next, we consider the meromorphic continuation of the zeta-function of <italic>G</italic>₂-type and determine its possible singularities. Finally, by using our previous method, we give explicit functional relations for them which include Witten's volume formulas.

DOI： 10.1017/s0017089510000613

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：OXFORD UNIV PRESS  

A surface integral representation of a multiple generalization of the Hurwitz-Lerch zeta function is given, which is a direct analogue of the well-known contour integral representation of the Riemann zeta function of Hankel's type. From this integral representation, we derive a detailed description of the set of its possible singularities. In addition, we present two formulae for special values of the zeta function at non-positive integers in terms of generalizations of Bernoulli numbers. These results are refinements of previously known ones.

DOI： 10.1093/qmath/hap004

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We prove that all but finitely many zeros of Weng's zeta function for a
Chevalley group defined over $\Q$ are simple and on the critical line under
some reasonable geometric hypothesis.

DOI： 10.1007/s00229-015-0736-8

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We consider certain double series of Eisenstein type involving
hyperbolic-sine functions. We define certain generalized Hurwitz numbers, in
terms of which we evaluate those double series. Our main results can be
regarded as a certain generalization of well-known results of Hurwitz,
Herglotz, Katayama and so on. Our results also include recent formulas of the
third-named author which are double analogues of the formulas of Cauchy,
Mellin, Ramanujan, Berndt and so on, about certain Dirichlet series involving
hyperbolic functions. As an application, we give some evaluation formulas for
$q$-zeta functions at positive integers.

DOI： 10.1515/forum-2011-0300

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：KOSSUTH LAJOS TUDOMANYEGYETEM  

We consider certain double series in two variables such as the Euler double zeta-function and its generalization of Eisenstein type. In the former part, we give some functional equations among these series, which are Eisenstein type analogues of a previous result on double zeta-functions given by the second-named author. We point out that, on certain hyperplanes, we can show functional equations of traditional symmetric type for these double series. In the latter part, we give some functional relations for these series and double series of another type involving hyperbolic functions. As special cases, we can obtain the known value-relation formulas for these series given by the third-named author recently.

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Publishing type：Research paper (scientific journal)   Publisher：Mathematical Society of Japan (Project Euclid)  

DOI： 10.2969/jmsj/06220355

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：WILEY  

We define generalized Bernoulli numbers, Bernoulli polynomials and multi-variable L-functions associated with root systems. We prove that the values of those L-functions at positive integers can be expressed in terms of those Bernoulli polynomials, and give an explicit formula for the latter. This result is a character analogue of Witten's volume formula for Witten's zeta-functions of semisimple Lie algebras. Furthermore, we show that the L-functions can be continued meromorphically to the whole space, and satisfy certain functional relations.

DOI： 10.1112/plms/pdp025

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Publishing type：Part of collection (book)   Publisher：The Mathematical Society of Japan  

DOI： 10.2969/msjmemoirs/02101c060

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Publishing type：Research paper (international conference proceedings)   Publisher：WORLD SCIENTIFIC  

DOI： 10.1142/9789814289924_0007

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Language：English   Publisher：NATL ACAD SCI UKRAINE, INST MATH  

A unified approach is given to kernel functions which intertwine Ruijsenaars
difference operators of type A and of type BC. As an application of the
trigonometric cases, new explicit formulas for Koornwinder polynomials attached
to single columns and single rows are derived.

DOI： 10.3842/SIGMA.2009.054

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：SPRINGER  

A surface integral representation of the Mordell-Tornheim double zeta function is given, which is a direct analogue of a well-known integral representation of the Riemann zeta function of Hankel's type. As an application, we investigate its values and residues at integers, where generalizations of a generating function of Bernoulli numbers naturally appear.

DOI： 10.1007/s11139-008-9130-4

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：JAPAN ACAD  

This article is essentially an announcement of the papers [7-10] of the authors, though some of the examples are not included in those papers. We consider what is called zeta and L-functions of root systems which can be regarded as a multi-variable version of Witten multiple zeta and L-functions. Furthermore, corresponding to these functions, Bernoulli polynomials of root systems are defined. First we state several analytic properties, such as analytic continuation and location of singularities of these functions. Secondly we generalize the Bernoulli polynomials and give some expressions of values of zeta and L-functions of root systems in terms of these polynomials. Finally we give some functional relations among them by our previous method. These relations include the known formulas for their special values formulated by Zagier based on Witten's work.

DOI： 10.3792/pjaa.84.57

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Publishing type：Part of collection (book)   Publisher：WORLD SCIENTIFIC  

DOI： 10.1142/9789812772398_0007

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Publishing type：Research paper (scientific journal)   Publisher：AIP Publishing  

DOI： 10.1063/1.1507604

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：BLACKWELL PUBLISHERS  

We study the Macdonald polynomials that give eigenstates of some quantum many-body system with long-range interactions. Scalar products of the nonsymmetric Macdonald polynomials are algebraically evaluated through their Rodrigues-type formulas. We present a new proof of Macdonald's inner product identities without recourse to the shift operators; that is, we calculate square norms of the Macdonald polynomials through Weyl-symmetrization of those of the nonsymmetric Macdonald polynomials.

DOI： 10.1111/1467-9590.01431

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Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

DOI： 10.1007/s002200200622

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Other Link： http://link.springer.com/article/10.1007/s002200200622/fulltext.html

Publishing type：Research paper (scientific journal)   Publisher：AIP Publishing  

DOI： 10.1063/1.1398334

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Publishing type：Research paper (scientific journal)   Publisher：AIP Publishing  

DOI： 10.1063/1.1387271

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：AIP Publishing  

We study a family of mutually commutative difference operators introduced by Ruijsenaars. The conjugations of these operators with an appropriate function give the Hamiltonians of some relativistic quantum systems. These operators can be regarded as elliptic analogs of the Macdonald operators and their coefficients consist of the Jacobi theta functions. We show that these operators act on the space of meromorphic functions on the Cartan subalgebra of affine Lie algebras and that the space spanned by characters of a fixed positive level is invariant under the action of these operators. (C) 2001 American Institute of Physics.

DOI： 10.1063/1.1387449

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Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

DOI： 10.1023/a:1004875625099

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Publishing type：Research paper (scientific journal)   Publisher：Elsevier BV  

DOI： 10.1016/s0550-3213(99)00761-0

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Publishing type：Part of collection (book)   Publisher：Birkhäuser Boston  

We study a family of mutually commutative difference operators associated
with the affine root systems. These operators act on the space of meromorphic
functions on the Cartan subalgebra of the affine Lie algebra. We show that the
space spanned by the characters of a fixed positive level is invariant under
the action of these operators.

DOI： 10.1007/978-1-4612-1378-9_4

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：Physical Society of Japan  

We introduce a vertex model in two-dimension, which is associated withthe Bogoyavlensky lattice.We show that in a crystallized limit (q→0)we have a unique configuration, and that it coincides with anevolution of the soliton cellular automata which is a generalizationof the system introduced by Takahashi and Satsuma.

DOI： 10.1143/jpsj.68.2234

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：Physical Society of Japan  

We study the elliptic Ruijsenaars model of type-BC, which is adifference analogue of the BC-type Calogero–Sutherland–Moser modelwith an elliptic pairwise potential.In the trigonometric limit, the difference operator of this model reduces to the Macdonald–Koornwinder operatorby a gauge-transformation.We show that our difference operatoracts on a finite-dimensional space of functions in a special case of thecoupling constant.

DOI： 10.1143/jpsj.67.4037

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Publishing type：Research paper (scientific journal)   Publisher：AIP Publishing  

DOI： 10.1063/1.532622

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Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

DOI： 10.1007/s100510050482

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Other Link： http://link.springer.com/article/10.1007/s100510050482/fulltext.html

Language：English   Publishing type：Research paper (scientific journal)   Publisher：Physical Society of Japan  

Integrable boundary Boltzmann weight for the eight-vertexsolid-on-solid model is constructed.Based on the operator-valued solutions of both the Yang-Baxterequation and the reflection equation,we propose a simple method to give the Boltzmann weight using thevertex-IRF correspondence.

DOI： 10.1143/jpsj.67.78

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Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

DOI： 10.1023/a:1007452800428

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Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

DOI： 10.1023/a:1007577231399

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Publishing type：Research paper (scientific journal)   Publisher：World Scientific Pub Co Pte Lt  

The δ-function interacting many-body systems (nonlinear Schrödinger models) on an infinite interval and with boundary are studied by use of the integrable differential-difference operators, so-called Dunkl operators. These models are related with the classical root systems of type A and BC, and we give a systematic method to construct these integrable operators. This method is based on the infinite-dimensional representation for solutions of the classical Yang–Baxter equation and the classical reflection equation. In addition the scattering matrices of the boundary nonlinear Schrödinger model are investigated.

DOI： 10.1142/s0217751x97002887

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Publishing type：Research paper (scientific journal)   Publisher：Elsevier BV  

DOI： 10.1016/s0550-3213(97)00177-6

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Publishing type：Research paper (scientific journal)   Publisher：World Scientific Pub Co Pte Lt  

The generalized elliptic Ruijsenaars models, which are regarded as a difference analog of the Calogero–Sutherland–Moser models associated with the classical root systems are studied. The integrability and the duality using the fusion procedure of operator-valued solutions of the Yang–Baxter equation and the reflection equation are shown. In particular a new integrable difference operator of type-D is proposed. The trigonometric models are also considered in terms of the representation of the affine Hecke algebra.

DOI： 10.1142/s0217732397000789

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Publishing type：Research paper (scientific journal)   Publisher：IOP Publishing  

DOI： 10.1088/0305-4470/30/6/017

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Publishing type：Research paper (scientific journal)   Publisher：World Scientific Pub Co Pte Lt  

We reconsider the operator-valued solutions of the Yang-Baxter equation and the reflection equation. We construct quantum Knizhnik-Zamolodchikov type operators, and discussed the relationship with the MacDonald q-polynomial theory associated with the classical root systems.

DOI： 10.1142/s0217732396002848

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Publishing type：Research paper (scientific journal)   Publisher：Elsevier BV  

DOI： 10.1016/0375-9601(96)00385-4

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：Physical Society of Japan  

The quantum one-dimensional massless Thirring model is studied. A transformation which casts the massless Thirring model into a quadratic form is found. The transformed field operators satisfy interesting commutation relations, fermion anti-commutation relations among the same kinds of fields and anyon-like commutation relations between different kinds. Bethe Ansatz wavefunctions are constructed algebraically using the transformation and the commutation relations in coordinate space.

DOI： 10.1143/jpsj.65.722

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Language：English   Publisher：Kyoto University  

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Other Link： http://hdl.handle.net/2433/58038

Language：Japanese   Publisher：京都大学  

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Other Link： http://hdl.handle.net/2433/48156

Language：Japanese   Publisher：The Physical Society of Japan (JPS)  

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Language：Japanese   Publisher：The Physical Society of Japan (JPS)  

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Language：Japanese   Publisher：The Physical Society of Japan (JPS)  

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Language：Japanese   Publisher：The Physical Society of Japan (JPS)  

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Language：Japanese   Publisher：The Physical Society of Japan (JPS)  

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Language：Japanese   Publisher：The Physical Society of Japan (JPS)  

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Language：Japanese   Publisher：The Physical Society of Japan (JPS)  

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Language：Japanese   Publisher：The Physical Society of Japan (JPS)  

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Venue：大阪大学  

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Venue：京都大学  

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Venue：名古屋大学  

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Venue：立命館大学  

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Venue：St-Etienne  

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Venue：名古屋大学  

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Venue：東京工業大学  

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Venue：京都大学  

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Venue：立教大学  

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Venue：Jeju  

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Venue：九州大学  

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Venue：大阪工業大学  

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Venue：明治学院大学  

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Venue：Wuerzburg  

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Venue：Palanga  

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Venue：沖縄県青年会館  

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Venue：公共の宿おおとり荘  

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Venue：京都大学  

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Venue：京都大学  

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Venue：東京大学  

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Venue：Univ. Jean-Monnet  

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Venue：愛媛大学  

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Venue：北海道大学  

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Venue：九州大学  

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Venue：名古屋大学  

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Venue：東京大学  

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Venue：東京大学  

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Venue：Weurzburg Univ.  

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Venue：京都大学  

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Venue：京都大学  

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Event date： 21 7 2008 - 25 7 2008

Venue：Max Planck Institute for Mathematics  

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Venue：津田塾大学  

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Venue：マホロバマインズ 三浦海岸  

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Venue：名古屋大学  

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Venue：Univ. Lille 1  

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Venue：京都大学  

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Venue：東京大学  

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Venue：名古屋大学  

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Event date： 22 8 2005 - 24 8 2005

Venue：京都大学  

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Venue：名古屋大学  

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Venue：名古屋大学  

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Event date： 8 11 2004 - 11 11 2004

Venue：京都大学  

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Event date： 19 9 2004 - 22 9 2004

Venue：北海道大学  

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Event date： 19 9 2004 - 22 9 2004

Venue：北海道大学  

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Event date： 20 7 2004 - 23 7 2004

Venue：京都大学  

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Venue：神戸大学  

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Venue：岡山理科大学  

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Event date： 28 3 2002 - 31 3 2002

Venue：明治大学  

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Event date： 25 9 2001 - 28 9 2001

Venue：新潟県小千谷市木津の湯  

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Venue：京都大学  

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Venue：早稲田大学  

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Venue：新潟大学  

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Venue：Colorado Univ.  

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Venue：関西大学  

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Venue：CRM, Montreal Univ.  

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Venue：九州大学  

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Venue：九州大学  

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Venue：広島大学  

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Venue：京都大学  

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Venue：琉球大学  

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Venue：神戸大学  

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Venue：名城大学  

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Venue：山口大学  

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Venue：金沢大学  

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