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OverviewThis 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. Full Product DetailsAuthor: Takashi Aoki , Shigeru Kanemitsu , Mikio Nakahara , Yasuo OhnoPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of hardcover 1st ed. 2005 Volume: 14 Dimensions: Width: 15.50cm , Height: 1.20cm , Length: 23.50cm Weight: 0.454kg ISBN: 9781441937643ISBN 10: 1441937641 Pages: 219 Publication Date: 08 December 2010 Audience: Professional and scholarly , Professional & Vocational , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsGöllnitz-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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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