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

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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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Acknowledgements

I would like to express my gratitude to Prof. Blomer for the many useful suggestions and remarks.

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Correspondence to Fabian Waibel.

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Waibel, F. Fourier coefficients of half-integral weight cusp forms and Waring’s problem. Ramanujan J 47, 185–200 (2018). https://doi.org/10.1007/s11139-017-9934-1

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  • DOI: https://doi.org/10.1007/s11139-017-9934-1

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