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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
Kanemitsu, Shigeru (Henan Suda Electric Vehicle Technology Co., Ltd., China & Kyushu Inst Of Technology, Japan & Shandong Univ, China)
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
| Medios de comunicación | Libros Hardcover Book (Libro con lomo y cubierta duros) |
| Publicado | 24 de febrero de 2015 |
| ISBN13 | 9789814449618 |
| Editores | World Scientific Publishing Co Pte Ltd |
| Páginas | 316 |
| Dimensiones | 155 × 231 × 23 mm · 566 g |
| Lengua | Inglés |
