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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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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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