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.
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