Additive twists of Fourier coefficients of symmetric-square lifts

Xiaoqing Li; Matthew P. Young

doi:10.1016/j.jnt.2011.12.017

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arXiv · 1106.1456

Additive twists of Fourier coefficients of symmetric-square lifts

Xiaoqing Li·Matthew P. Young

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Abstract

We study the sum of additively twisted Fourier coefficients of a symmetric-square lift of a Maass form invariant under the full modular group. Our bounds are uniform in terms of the spectral parameter of the Maass form, as well as in terms of the additive twist.

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Xiaoqing Li, Matthew P. Young. 2011-06-29. Additive twists of Fourier coefficients of symmetric-square lifts. https://doi.org/10.1016/j.jnt.2011.12.017

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