Additive twists of Fourier coefficients of symmetric-square lifts

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.

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

References in corpus (3)

• Upper bounds on L-functions at the edge of the critical strip
• The $L^2$ restriction norm of a Maass form on $S{L}_{n+1}(\mathbb{Z})$
• The $L^2$ restriction norm of a $G{L}_3$ Maass form

Cited by in corpus (2)

• Nodal domains of Maass forms I
• Nodal domains of Maass forms II