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Yoshihiro Takeyama

  1. Quadratic relations for a q-analogue of multiple zeta values.

    Thu, 08/05/2010 - 15:01 — SomNambul
    Authors: Yoshihiro Takeyama
    Subjects: Number Theory
    Abstract

    We obtain a class of quadratic relations for a q-analogue of multiple zeta
    values (qMZV's). In the limit q->1, it turns into Kawashima's relation for
    multiple zeta values. As a corollary we find that qMZV's satisfy the linear
    relation contained in Kawashima's relation. In the proof we make use of a
    q-analogue of Newton series and Bradley's duality formula for finite multiple
    harmonic q-series.

  2. Differential equations compatible with boundary rational qKZ equation.

    Tue, 08/18/2009 - 11:53 — SomNambul
    Authors: Yoshihiro Takeyama
    Subjects: Quantum Algebra
    Abstract

    We give differential equations compatible with the rational qKZ equation with
    boundary reflection. The total system contains the trigonometric degeneration
    of the bispectral qKZ equation of type (C_{n}^{\vee}, C_{n}) which in the case
    of type GL_{n} was studied by van Meer and Stokman. We construct an integral
    formula for solutions to our compatible system in a special case.

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