Representing a sweep of abstract L-Functions

A variety of abstract L-functions including those of elliptic curves
and higher genus surfaces as well as the modular form delta.

I have extended the paper "A Dynamical Key to the Riemann Hypothesis" in the previous posting, to include a sweep of abstract L-functions including Dedekind zeta and Hecke L-functions of the Gaussian integers Z[i], L-functions of a spectrum of elliptic curves and higher genus surfaces and those of certain modular forms.

In combination, these give the best overview I have been able to find of what these mysterious functions key to analytic number theory and the proof of Fermat's Last Theorem and encrypting information about the Riemann Hypothesis actually look like and the close relationships between them.

Taken together in their diversity this spread of L-functions shows how different types of hidden primal relationship from a set of encrypted keys to the lock of the Riemann Hypothesis whose master key is the Riemann zeta function itself.