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On Products of Fourier Coefficients of Cusp Forms

Number Theory 2016-06-15 v2
Authors: Eric Hofmann , Winfried Kohnen
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Abstract

The purpose of this paper is to study products of Fourier coefficients of an elliptic cusp form, a(n)a(n+r)a(n)a(n + r) (n≥1)(n \geq 1) for a fixed positive integer rr, concerning both non-vanishing and non-negativity.

Keywords

elliptic cusp form fourier coefficients products of coefficients non-vanishing non-negativity

Cite

@article{arxiv.1509.02431,
  title  = {On Products of Fourier Coefficients of Cusp Forms},
  author = {Eric Hofmann and Winfried Kohnen},
  journal= {arXiv preprint arXiv:1509.02431},
  year   = {2016}
}

Comments

Minor revision: Several typos fixed, notation made more consistent. To appear in Forum Math

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