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On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.
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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 …