CONTRIBUTIONS TO THE THEORY OF ZETA-FUNCTIONS

CONTRIBUTIONS TO THE THEORY OF ZETA-FUNCTIONS

Contributions to the Theory of Zeta-Functions

Haruo Tsukada / KANEMITSU SHIGERU / Shigeru Kanemitsu / SHIGERU KANEMITSU & HARUO TSUKADA

121,33 €
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Editorial:
World Scientific Publishing Co Pte Ltd
Año de edición:
2014
ISBN:
9789814449618
121,33 €
IVA incluido
Disponible

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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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