Additive twists of Fourier coefficients of symmetric-square lifts

Details Additive twists of Fourier coefficients of symmetric-square lifts Additive twists of Fourier coefficients of symmetric-square lifts

2011-06-07

arxiv.org/abs/1106.1456v2

Mathematics

Number Theory

13 pages. v2: fixed the relation between T and t_j on p.2 and added clarification to some references

Scientific paper

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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