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Zeta functions are typically analogues or generalizations of the Riemann zeta function. Examples include Dedekind zeta functions of number fields, and zeta functions of varieties over finite fields. They are typically initially defined as formal generating functions, but often admit analytic continuations.

6 votes
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Functional Equation of Zeta Function on Statistical Model

I've been studying [1] because I was interested in his ideas on the zeta function. I'll define it here (c.f. p. 31): The Kullback-Leibler distance is defined as $$ K(w)=\int q(x)f(x, w)dx\quad f(x,w …
Matt Cuffaro's user avatar
6 votes
1 answer
478 views

Is there research on the special values of the zeta function outside the integers?

This question quotes from this article, but I've noticed this pattern in the literature I've read. "The values or better the leading coefficients at integral arguments of the L-functions of alge …
Matt Cuffaro's user avatar