Main Contributions to the Theory of Zeta-Functions: The Modular Relation Supremacy (Number Theory and Its Applications)

Contributions to the Theory of Zeta-Functions: The Modular Relation Supremacy (Number Theory and Its Applications)

Name: Contributions to the Theory of Zeta-Functions: The Modular Relation Supremacy (Number Theory and Its Applications)
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ISBN: 9789814449618

SHIGERU KANEMITSU, HARUO TSUKADA

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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.

Request Code : ZLIBIO4020189

Categories:

Year:

2014

Publisher:

WSPC

Language:

English

Pages:

316

ISBN 10:

981444961X