English

Fourier coefficients of half-integral weight cusp forms and Waring's problem

Number Theory 2017-06-29 v1

Abstract

Extending the approach of Iwaniec and Duke, we present strong uniform bounds for Fourier coefficients of half-integral weight cusp forms of level NN. As an application, we consider a Waring-type problem with sums of mixed powers.

Keywords

Cite

@article{arxiv.1706.09320,
  title  = {Fourier coefficients of half-integral weight cusp forms and Waring's problem},
  author = {Fabian Waibel},
  journal= {arXiv preprint arXiv:1706.09320},
  year   = {2017}
}

Comments

13 pages

R2 v1 2026-06-22T20:32:19.341Z