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-...

Full description

Bibliographic Details

Main Author:	Kanemitsu, Shigeru (Author)
Format:	Electronic eBook
Language:	English
Published:	Singapore World Scientific Pub. Co. c2015
Series:	Series on number theory and its applications vol. 10
Subjects:	Functions, Zeta Functional equations Mathematics Zetafunktion
Online Access:	DE-92 Volltext
Summary:	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
Physical Description:	xii, 303 p. ill
ISBN:	9789814449625