Additive twists of Fourier coefficients of symmetric-square lifts

作者：Li Xiaoqing; Young Matthew P^*

来源：Journal of Number Theory, 2012, 132(7): 1626-1640.

DOI：10.1016/j.jnt.2011.12.017

• Symmetric square
• Maass form
• Additive twist
• Fourier coefficient

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.

• 出版日期2012-7