English

Quadratic forms connected with Fourier coefficients of holomorphic and Maass cusp forms

Number Theory 2018-10-25 v1

Abstract

In this work we prove a prime number type theorem involving the normalised Fourier coefficients of holomorphic and Maass cusp forms, using the classical circle method. A key point is in a recent paper of Fouvry and Ganguly, based on Hoffstein-Ramakrishnan's result about the non-existence of the Siegel zeros for GL(2)GL(2) LL-functions, which allows us to improve preceding estimates.

Keywords

Cite

@article{arxiv.1810.10424,
  title  = {Quadratic forms connected with Fourier coefficients of holomorphic and Maass cusp forms},
  author = {Giamila Zaghloul},
  journal= {arXiv preprint arXiv:1810.10424},
  year   = {2018}
}

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10 pages