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

di Shigeru Kanemitsu (Autore)

Haruo Tsukada (Autore)

World Scientific Publishing Co Pte Ltd, 2015

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.

• Autore: Shigeru Kanemitsu, Haruo Tsukada
• Editore: World Scientific Publishing Co Pte Ltd
• Collana: Series on Number Theory and Its Applications
• Anno: 2015
• Rilegatura: Hardback
• Pagine: 316 p.
• EAN: 9789814449618

Testo in English