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Results tagged with l-functions
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user 101025
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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Conditional convergence of exponential sums related to a Hecke modular form
Definition
Consider the Fourier coefficients $\psi(n)$ of the modular form $\eta^4(6\tau)$,
which are defined in terms of $q=\exp(i2\pi\tau)$ by the identity:
$$\eta^4(6\tau) = q \prod_1^\infty (1-q^ …
0
votes
Conditional convergence of exponential sums related to a Hecke modular form
Let me sum up my current state of knowledge.
First, here are some known facts about the coefficients $\psi(n)$ taken from the 1975 article by Ligozat called Courbes modulaires de genre 1.
Théorème B …