Zeta Functions, Topology and Quantum Physics

This volume 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. Eleven articles on recent advances are written by outstanding experts in the above-mentioned fields....

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Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Aoki, Takashi (Editor), Kanemitsu, Shigeru (Editor), Nakahara, Mikio (Editor), Ohno, Yasuo (Editor)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer US : Imprint: Springer, 2005.
Edition:1st ed. 2005.
Series:Developments in Mathematics, 14
Subjects:
Number theory.
Mathematical physics.
Number Theory.
Mathematical Methods in Physics.
Online Access:Texto Completo
Table of Contents:
  • Göllnitz-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.

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