On sums of Fourier coefficients of cusp forms

2003/11/25 by Aleksandar Ivić · 2 citations
Mathematics · #math.NT #msc:11F72 #msc:11M06

paper · pdf

published as Proc. IV Int. Conf. "Modern Problems of Number Theory and its Applications" (Tula, Sept. 2001), Pedagogical University of Tula, Tula, 2002, pp. 92-97 · 5 pages

arxiv created 2003/11/25 · arxiv updated 2009/12/01

Abstract

The summatory function of t_j(n²) is estimated, where H_j(s) = ∑_n=1^∞ t_j(n)n^-s is the Hecke series of a non-holomorphic cusp form. The analogous problem of holomorphic cusp forms is also treated.

Cited by

• On the distribution of the Fourier coefficients over two sparse sequences
• Mean squares of quadratic twists of the Fourier coefficients of modular forms

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