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CONTRIBUTIONS TO THE THEORY OF ZETA-FUNCTIONS IBD

HARUO TSUKADA / KANEMITSU SHIGERU / SHIGERU
WORLD SCIENTIFIC
12 / 2014
9789814449618
Inglés

Sinopsis

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations &mdash, zeta symmetry &mdash, 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.