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Results tagged with zeta-functions
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user 8857
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.
4
votes
Sequences equidistributed modulo 1
Let $S$ be the semi-group generated by $2$ and $3$.
The interest in this semi-group is that it is non-lacunary, meaning $s_{n+1}/s_{n} \rightarrow 1$.
A famous theorem due to Furstenberg will tell yo …
- 2,459
6
votes
Ihara zeta function
RH for the Ihara zeta function will correspond to the graph being Ramanujan (if the graph is (q+1)-regular).
The zeta function for varieties over finite fields is more related to Ruelle's zeta funct …
- 2,459