Contributions to the Theory of Zeta-Functions: The Modular Relation Supremacy: 10 - Rilegato

Kanemitsu, Shigeru; Tsukada, Haruo

 
9789814449618: Contributions to the Theory of Zeta-Functions: The Modular Relation Supremacy: 10

Sinossi

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.

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Recensione

This book provides interesting material on zeta-functions, modular relations, special functions and much else besides. This original work contains much non-standard material and will certainly be of interest to many readers. --Zentralblatt MATH

The book has the merit of bringing together a lot of identities and formulae scattered in the literature. --Mathematical Reviews

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