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Results tagged with zeta-functions
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user 81159
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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What is the value of $p$-adic $\zeta$-function at positive integer point?
Let me mention some irrationality results about p-adic zeta values:
In 2005, Frank Calegari arxiv link proved that for $p=2,3$, the p-adic zeta values $\zeta_p(3)$ is irrational (hence nonzero). It ca …
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