Sums of Fourier coefficients of holomorphic cusp forms over integers without large prime factors

Dan Wang
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Dan Wang: Qilu University of Technology (Shandong Academy of Sciences)

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 4, 1090-1109

Abstract: Abstract Our goal in this paper is to prove an asymptotic estimate for sums of Fourier coefficients of holomorphic cusp forms over integers without large prime factors by using a Chebyshev-type functional equation.

Keywords: Asymptotic results on arithmetic functions; Fourier coefficients of automorphic forms; 11N37; 11F30 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-022-00221-0

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