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

Fabian Waibel

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arXiv · 1706.09320

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

Fabian Waibel

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Abstract

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

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Fabian Waibel. 2017-06-28. Fourier coefficients of half-integral weight cusp forms and Waring's problem. https://arxiv.org/abs/1706.09320

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