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Title Zeta functions, topology, and quantum physics / edited by Takashi Aoki [and others]
Published New York : Springer, ©2005

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Description 1 online resource (xv, 219 pages) : illustrations
Series Developments in mathematics ; v. 14
Developments in mathematics ; v. 14.
Contents Preface -- Conference schedule -- List of participants -- 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 -- Zeta functions over zeros of general zeta and L-functions -- Hopf Algebras and Transcendental Numbers
Summary 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. This book will become the major standard reference on the recent advances on zeta functions. Audience This book, primarily intended for researchers in number theory and mathematical physics, is also accessible to graduate students in these fields
Bibliography Includes bibliographical references (pages 218-219)
Notes English
In Springer eBooks
Subject Functions, Zeta -- Congresses
Mathematical physics -- Congresses
Geometry, Differential -- Congresses
Funciones Zeta -- Congresos
Física matemática -- Congresos
Functions, Zeta
Geometry, Differential
Mathematical physics
Genre/Form proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Aoki, Takashi, 1953-
LC no. 2005042695
ISBN 0387249729
9780387249728
0387249818
9780387249810
1281512923
9781281512925
9786611512927
6611512926