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Zeta Functions, Topology and Quantum Physics
ISBN-13:
9780387249810
Veröffentl:
2008
Seiten:
219
Autor:
Takashi Aoki
Serie:
14, Developments in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
"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 article starts with an introductory survey leading to the exciting new research developments accomplished by the contributors.
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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