By Shigeru Kanemitsu,Haruo Tsukada

This quantity offers a scientific survey of just about all of the similar assertions to the sensible equations — zeta symmetry — which zeta-functions fulfill, hence streamlining formerly released effects on zeta-functions. The similar kinfolk are given within the type of modular kinfolk in Fox *H*-function sequence, which at the present comprise all which have been regarded as applicants for components of a chain. the implications are offered in a transparent and straightforward demeanour for readers to with ease follow with out a lot wisdom of zeta-functions.

This quantity goals to maintain a checklist of the 150-year-old background ranging from Riemann on zeta-functions, that are ubiquitous in all mathematical sciences, anyplace there's a inspiration of the norm. It offers just about all attainable similar family to the zeta-functions with out requiring a reader's deep wisdom on their definitions. this is often an incredible reference publication for these learning zeta-functions.