Takashi Aoki

Zeta Functions, Topology and Quantum Physics - Developments in Mathematics Takashi Aoki 2005 edition

Marc Notes: Title from e-book title screen (viewed August 25, 2008).; Includes bibliographical references (pp218-219).; Also issued in print.; Electronic reproduction.; UK: MyiLibrary; 2008. Table of Contents: Gollnitz-Gordon Partitions with Weights and Parity Conditions.- Partition Identities for the Multiple Zeta Function.- A Perturbative Theory of the Evolution of the Center of Typhoons.- Algebraic Aspects of Multiple Zeta Values.- On the Local Factor of the Zeta Function of Quadratic Orders.- Sums Involving the Hurwitz Zeta-Function Values.- Crystal Symmetry Viewed as Zeta Symmetry.- Sum Relations for Multiple Zeta Values.- The Sum Formula for Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equation.- Zeta Functions Over Zeros of General Zeta and L-Functions.- Hopf Algebras and Transcendental Numbers."Publisher Marketing: Focuses on various aspects of zeta functions: multiple zeta values, Ohno's relations, the Riemann hypothesis, L-functions, polylogarithms, and their interplay with other disciplines. Each article starts with an introductory survey leading to the research developments accomplished by the contributors.