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

Authors :
Shigeru Kanemitsu
Haruo Tsukada
Shigeru Kanemitsu
Haruo Tsukada
Publication Year :
2015

Abstract

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.

Details

Language :
English
ISBNs :
9789814449618, 9789814449625, and 9789814449632
Volume :
00010
Database :
eBook Index
Journal :
Contributions To The Theory Of Zeta-functions: The Modular Relation Supremacy
Publication Type :
eBook
Accession number :
942143