Contributions to the Theory of Zeta-functions : The Modular Relation Supremacy

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
• | Publisher: World Scientific Publishing Company Incorporated
• | Publication Date: Aug 01, 2014
• | Number of Pages: 303 pages
• | Language: English
• | Binding: Hardcover
• | ISBN-10: 981444961X
• | ISBN-13: 9789814449618