Prime number theorems for the coefficients of modular forms

DOI10.1090/S0002-9904-1972-13040-4zbMath0274.10031OpenAlexW2077339461MaRDI QIDQ5181444

Carlos Julio Moreno

Publication date: 1972

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1972-13040-4

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Modular and automorphic functions (11F03) Hurwitz and Lerch zeta functions (11M35)

Related Items (12)

On partial sums of a spectral analogue of the Möbius function ⋮ A short note on sign changes ⋮ COUNTING HECKE EIGENFORMS WITH NONVANISHING -VALUE ⋮ Applications of the theory of modular forms to number theory ⋮ Eine Abschätzung der Summe, die in der Mertens-Goldstein-Vermutung auftritt ⋮ Zeros on the critical line for Dirichlet series attached to certain cusp forms ⋮ On Dirichlet series attached to cusp forms and the Siegel-zero ⋮ Prime number theorems for the coefficients of modular forms ⋮ Joint universality theorems for pairs of automorphic zeta functions ⋮ Fourier coefficients of cusp forms and automorphic \(L\)-functions ⋮ The Hoheisel Phenomenon for Generalized Dirichlet Series ⋮ Zeros of L-functions attached to Maass forms

Cites Work

• On the zeros of a class of Dirichlet series. I
• On a convolution of L-series
• Prime number theorems for the coefficients of modular forms
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