Displaying similar documents to “On the prime number theorem for the coefficients of certain modular forms”

On Hecke eigenvalues at primes of the form [g(n)]

Stephan Baier, Liangyi Zhao (2013)

Acta Arithmetica

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We study the average of the Fourier coefficients of a holomorphic cusp form for the full modular group at primes of the form [g(n)].

p -adic interpolation of convolutions of Hilbert modular forms

Volker Dünger (1997)

Annales de l'institut Fourier

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In this paper we construct p -adic measures related to the values of convolutions of Hilbert modular forms of integral and half-integral weight at the negative critical points under the assumption that the underlying totally real number field F has class number h F = 1 . This extends the result of Panchishkin [Lecture Notes in Math., 1471, Springer Verlag, 1991 ] who treated the case that both modular forms are of integral weight. In order to define the measures, we need to introduce the twist...

Linear relations between modular forms for Г 0 + (p)

SoYoung Choi, Chang Heon Kim (2015)

Open Mathematics

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We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.