Contributions to the Theory of Zeta-Functions: The Modular Relation Supremacy - Couverture rigide

Kanemitsu, Shigeru; Tsukada, Haruo

 
9789814449618: Contributions to the Theory of Zeta-Functions: The Modular Relation Supremacy
Couverture rigide
ISBN 10 : 981444961X ISBN 13 : 9789814449618
Editeur : World Scientific Publishing Co Pte Ltd, 2015

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2015
Langue
anglais
ISBN 10 
981444961X
ISBN 13 
9789814449618
Reliure
Relié
Nombre de pages
316
Coordonnées du fabricant
non disponible
Personne responsable
non disponible