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Results tagged with l-functions
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user 169234
Questions about generalizations of the Riemann Zeta function of arithmetic interest whose definition relies on meromorphic continuation of special kinds of Dirichlet series, such as Dirichlet L-functions, Artin L-functions, elements of the Selberg class, automorphic L-functions, Shimizu L-functions, p-adic L-functions, etc.
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Why does LMFDB refer to L functions having coefficients of type $a_p-a_{p^2}$ instead of jus...
This seems to be related to taking a power-series truncation in a reciprocal.
The $p$th Euler factor can be written as
$$\sum_{k=0}^\infty {a_{p^k}\over p^{ks}}$$
The reciprocal of this is in general …
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