Zeta Functions, Topology and Quantum Physics

• Corporate Author: SpringerLink (Online service)
• Other Authors: Aoki, Takashi (Editor), Kanemitsu, Shigeru (Editor), Nakahara, Mikio (Editor), Ohno, Yasuo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2005.
• Series: Developments in Mathematics, 14
• Subjects: Mathematics.; Number theory.; Physics.; Number Theory.; Mathematical Methods in 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. Each...

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.