Contributions To The Theory Of Zeta-functions: The Modular Relation Supremacy
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A01=Haruo Tsukada
A01=Shigeru Kanemitsu
Arithmetical Fourier Series
Author_Haruo Tsukada
Author_Shigeru Kanemitsu
Bessel Functions
Category=PBKF
Dedekind Zeta-Function
Dirichlet Series
Epstein Zeta-Function
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fox H-Function
Functional Equation
Hurwitz Zeta-Function
Hypergeometric Functions
Incomplete Gamma Functions
Lambert Series
Meijer G-Function
Modular Forms
Modular Relation
Riemann Zeta-Function
Riesz Sum
Product details
- ISBN 9789814449618
- Publication Date: 24 Feb 2015
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
