Contributions to the Theory of Zeta-functions: the Modular Relation Supremacy - Series on Number Theory and Its Applications - Kanemitsu, Shigeru (Kinki University, Japan) - Livros - World Scientific Publishing Co Pte Ltd - 9789814449618 - 24 de fevereiro de 2015
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Kanemitsu, Shigeru (Kinki University, Japan)
Contributions to the Theory of Zeta-functions: the Modular Relation Supremacy - Series on Number Theory and Its Applications

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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.

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

280 pages

Mídia Livros     Hardcover Book   (Livro com lombada e capa dura)
Lançado 24 de fevereiro de 2015
ISBN13 9789814449618
Editoras World Scientific Publishing Co Pte Ltd
Páginas 316
Dimensões 155 × 231 × 23 mm   ·   566 g
Idioma Inglês  

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