Contributions To The Theory Of Zeta-functions: The Modular Relation Supremacy - Series on Number Theory and Its Applications - Kanemitsu, Shigeru (Henan Suda Electric Vehicle Technology Co., Ltd., China & Kyushu Inst Of Technology, Japan & Shandong Univ, China) - Books - World Scientific Publishing Co Pte Ltd - 9789814449618 - February 24, 2015
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Contributions To The Theory Of Zeta-functions: The Modular Relation Supremacy - Series on Number Theory and Its Applications

Kanemitsu, Shigeru (Henan Suda Electric Vehicle Technology Co., Ltd., China & Kyushu Inst Of Technology, Japan & Shandong Univ, China)

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Contributions To The Theory Of Zeta-functions: The Modular Relation Supremacy - Series on Number Theory and Its Applications

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.

Readership: Graduate students and researchers in functional equations and special functions.


280 pages

Media Books     Hardcover Book   (Book with hard spine and cover)
Released February 24, 2015
ISBN13 9789814449618
Publishers World Scientific Publishing Co Pte Ltd
Pages 316
Dimensions 155 × 231 × 23 mm   ·   566 g
Language English  

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