English

On the mean square of short exponential sums related to cusp forms

Number Theory 2010-06-09 v2

Abstract

The purpose of the article is to estimate the mean square of a squareroot length exponential sum of Fourier coefficients of a holomorphic cusp form.

Keywords

Cite

@article{arxiv.1005.3690,
  title  = {On the mean square of short exponential sums related to cusp forms},
  author = {Anne-Maria Ernvall-Hytönen},
  journal= {arXiv preprint arXiv:1005.3690},
  year   = {2010}
}

Comments

fixed an error at the end of the paper, and corrected some typos