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Jianqiang Zhao

  1. Witten volume formulas for semi-simple Lie algebras.

    Чт, 01/21/2010 - 16:01 — SomNambul
    Authors: Jianqiang Zhao
    Subjects: Number Theory
    Abstract

    In this paper we provide an algebraic derivation of the explicit Witten
    volume formulas for a few semi-simple Lie algebras by combining a combinatorial
    method with the ideas used by Gunnells and Sczech in computation of
    higher-dimensional Dedekind sums.

  2. Congruences of alternating multiple harmonic sums.

    Пт, 09/04/2009 - 12:10 — SomNambul
    Authors: Roberto Tauraso, Jianqiang Zhao
    Subjects: Number Theory
    Abstract

    In this sequel to arXiv:0905.3327, we continue to study the congruence
    properties of the alternating version of multiple harmonic sums. As contrast to
    the study of multiple harmonic sums where Bernoulli numbers and Bernoulli
    polynomials play the key roles, in the alternating setting the Euler numbers
    and the Euler polynomials are also essential.

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