Additive twists of Fourier coefficients of symmetric-square lifts

Xiaoqing Li; Matthew P. Young

doi:10.1016/j.jnt.2011.12.017

Additive twists of Fourier coefficients of symmetric-square lifts

Xiaoqing Li
, Matthew P. Young

Mathematics

Texas A&M University

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English
Pages (from-to)	1626-1640
Number of pages	15
Journal	Journal of Number Theory
Volume	132
Issue number	7
DOIs	https://doi.org/10.1016/j.jnt.2011.12.017
State	Published - Jul 2012

Keywords

Additive twist
Fourier coefficient
Maass form
Symmetric square

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10.1016/j.jnt.2011.12.017

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title = "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.",

keywords = "Additive twist, Fourier coefficient, Maass form, Symmetric square",

author = "Xiaoqing Li and Young, \{Matthew P.\}",

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AU - Young, Matthew P.

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AB - 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.

KW - Additive twist

KW - Fourier coefficient

KW - Maass form

KW - Symmetric square

UR - https://www.scopus.com/pages/publications/84862800907

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DO - 10.1016/j.jnt.2011.12.017

M3 - Article

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VL - 132

SP - 1626

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JO - Journal of Number Theory

JF - Journal of Number Theory

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Additive twists of Fourier coefficients of symmetric-square lifts

Abstract

Keywords

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