Contributions To The Theory Of Zeta-functions: The Modular Relation Supremacy

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.