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Additive twists of Fourier coefficients of symmetric-square lifts
Authors:Xiaoqing Li  Matthew P Young
Institution:1. Department of Mathematics, State University of New York at Buffalo, Buffalo, NY 14260, USA;2. Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA
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.
Keywords:
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