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Remark on the paper “On products of Fourier coefficients of cusp forms”

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Abstract

Let a(n) be the Fourier coefficient of a holomorphic cusp form on some discrete subgroup of \(SL_2({\mathbb R})\). This note is to refine a recent result of Hofmann and Kohnen on the non-positive (resp. non-negative) product of \(a(n)a(n+r)\) for a fixed positive integer r.

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Authors and Affiliations

  1. School of Mathematical Sciences, Shandong Normal University, Jinan, 250014, Shandong, People’s Republic of China

    Deyu Zhang

  2. Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, Hong Kong

    Yuk-Kam Lau

  3. College of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, Guangdong, People’s Republic of China

    Yingnan Wang

Authors
  1. Deyu Zhang
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  2. Yuk-Kam Lau
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  3. Yingnan Wang
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Correspondence to Yingnan Wang.

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Zhang, D., Lau, YK. & Wang, Y. Remark on the paper “On products of Fourier coefficients of cusp forms”. Arch. Math. 108, 263–269 (2017). https://doi.org/10.1007/s00013-016-0996-x

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  • DOI: https://doi.org/10.1007/s00013-016-0996-x

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