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Results tagged with zeta-functions
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user 8435
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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prime zeta function when $0<s<1$
This estimate is probably very crude, but here we have that $\sum_{p \leq x} \frac{1}{p^s} \leq \pi(x)\frac{1}{2^s}$.
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