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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.

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Is there a "quantum" Riemann zeta function?

Here is another article dealing with similar functions: q-analogue of Riemann’s ζ-function and q-Euler numbers. by Junya Satoh. There are also many articles by Taekyun Kim on related functions. One ke …
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