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About Contributions to the Theory of Zeta-Functions: The Modular Relation Supremacy (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.
Detailed Information
| Author: | Shigeru Kanemitsu |
|---|---|
| Publication Year: | 2012 |
| ISBN: | 9789814449618 |
| Pages: | 316 |
| Language: | English |
| File Size: | 2 |
| Format: | |
| Price: | FREE |
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