Contributions To The Theory Of Zeta-functions: The Modular Relation Supremacy

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Contributions To The Theory Of Zeta-functions: The Modular Relation Supremacy is written by Shigeru Kanemitsu and published by World Scientific. It's available with International Standard Book Number or ISBN identification 9814449636 (ISBN 10) and 9789814449632 (ISBN 13).

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations — zeta symmetry — which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions.This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions.