CONTRIBUTIONS TO THE THEORY OF ZETA-FUNCTIONS: THE MODULAR RELATION SUPREMACY (Number Theory and Its Applications) - Hardcover

Kanemitsu, Shigeru; Tsukada, Haruo

Hardcover

ISBN 10: 981444961X ISBN 13: 9789814449618

Publisher: World Scientific Publishing Company, 2014

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2014
• Language: English
• ISBN 10: 981444961X
• ISBN 13: 9789814449618
• Binding: Hardcover
• Number of pages: 316