Contributions to the Theory of Zeta-Functions: The Modular Relation Supremacy (Hardcover) (ISBN-13: 9789814449618)

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.

Author: Shigeru Kanemitsu, Haruo Tsukada
ISBN-10: 981444961X
ISBN-13: 9789814449618
Publisher: World Scientific Publishing Company
Language: English
Published: 08/01/2014
Pages: 316
Format: Hardcover
Weight: 1.25lbs
Size: 9.10h x 6.10w x 0.90d