Yoshihiro TAKEYAMA

J-GLOBAL         Last updated: Mar 15, 2019 at 19:48
Yoshihiro TAKEYAMA
University of Tsukuba
Graduate School of Pure and Applied Sciences
Job title
Doctor (Science)


[Research field]
Mathematical Physics: Study on representation theory, difference equations, special functions and combinatorics arising from quantum integrable systems.

Academic & Professional Experience

Nov 2011
Associate Professor, University of Tsukuba, Faculty of Pure and Applied Sciences

Research Interests


Research Areas


Books etc

竹山 美宏
森北出版   Mar 2018   ISBN:4627062311
化学同人   Apr 2011   ISBN:4759813381


Henrik Bachmann, Yoshihiro Takeyama, Koji Tasaka
   Jul 2018
We study special values of finite multiple harmonic q-series at roots of
unity. These objects were recently introduced by the authors and it was shown
that they have connections to finite and symmetric multiple zeta values and the
Kaneko-Zagier co...
Yoshihiro Takeyama
   Jun 2018
We introduce derivations on the algebra of multiple harmonic q-series and
show that they generate linear relations among the q-series which contain the
derivation relations for a q-analogue of multiple zeta values due to Bradley.
As a byproduct we...
Yoshihiro Takeyama
   Jul 2015
We construct a stochastic particle system which is a multi-species version of
the q-Boson system due to Sasamoto and Wadati. Its transition rate matrix is
obtained from a representation of a deformation of the affine Hecke algebra of
type GL.
Jun-ichi Okuda,Yoshihiro Takeyama
   Feb 2004
We prove some relations for the Tex-multiple zeta values (TexMZV). They are
Tex-analogues of the cyclic sum formula, the Ohno relation and the Ohno-Zagier
relation for the multiple zeta values (MZV). We discuss the problem to
determine the dimensi...

Published Papers

Henrik Bachmann, Yoshihiro Takeyama, Koji Tasaka
Compositio Mathematica   154(12) 2701-2721   Dec 2018   [Refereed]
We introduce the notion of finite multiple harmonic q-series at a primitive
root of unity and show that these specialize to the finite multiple zeta value
(FMZV) and the symmetrized multiple zeta value (SMZV) through an algebraic and
analytic oper...
Yoshihiro Takeyama
Funkcialaj Ekvacioj   61(3) 349-376   Dec 2018   [Refereed]
In a previous paper a multi-species version of the q-Boson stochastic
particle system is introduced and the eigenfunctions of its backward generator
are constructed using a representation of the Hecke algebra. In this article we
prove a formula wh...
Yoshihiro Takeyama
J. Phys. A   47    Oct 2014   [Refereed]
We introduce a deformation of the affine Hecke algebra of type GL which
describes the commutation relations of the divided difference operators found
by Lascoux and Schutzenberger and the multiplication operators. Making use of
its representation ...
Yoshihiro Takeyama
Funkcial. Ekvac.   57(1) 107-118   Apr 2014   [Refereed]
We consider an eigenvalue problem for a discrete analogue of the Hamiltonian
of the non-ideal Bose gas with delta-potentials on a circle. It is a
two-parameter deformation of the discrete Hamiltonian for joint moments of the
partition function of ...
Yoshihiro Takeyama
9    Oct 2013   [Refereed]
We introduce an algebra which describes the multiplication structure of a
family of q-series containing a q-analogue of multiple zeta values. The double
shuffle relations are formulated in our framework. They contain a q-analogue of
Hoffman's iden...

Conference Activities & Talks

On the eigenfunctions for the multi-species q-Boson system
Yoshihiro TAKEYAMA
26 Mar 2017   
Yoshihiro TAKEYAMA
Infinite Analysis 16   25 Mar 2016   
Algebraic construction of multi-species q-Boson system
Yoshihiro TAKEYAMA
19 Mar 2016   
Yoshihiro TAKEYAMA
21 Aug 2015   


Michio Jimbo and Tetsuji Miwa Awarded the Dannie Heineman Prize for Mathematical Physics
Yoshihiro TAKEYAMA
Asian Pacific Math Newsletter, October 2013, Issue No. 4

Research Grants & Projects

Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(若手研究(B))
Project Year: 2008 - 2010    Investigator(s): Yoshiriro TAKEYAMA
We studied the rational quantum Knizhnik-Zamolodchikov (rational qKZ) equation, which is a difference equation playing an important role in the theory of massive integrable quantum field theories. We obtained special solutions and constructed a sy...