# Analytic twists of $\rm GL_2\times\rm GL_2$ automorphic forms

@inproceedings{Lin2019AnalyticTO, title={Analytic twists of \$\rm GL\_2\times\rm GL\_2\$ automorphic forms}, author={Yongxiao Lin and Qingfeng Sun}, year={2019} }

Let f and g be holomorphic or Maass cusp forms for SL2(Z) with normalized Fourier coefficients λf (n) and λg(n), respectively. In this paper, we prove nontrivial estimates for the sum ∞

#### 2 Citations

Averages of coefficients of a class of degree 3 L-functions

- Mathematics
- 2020

In this note, we give a detailed proof of an asymptotic for averages of coefficients of a class of degree three $L$-functions which can be factorized as a product of a degree one and a degree two… Expand

On the Rankin–Selberg problem

- Mathematics
- 2020

In this paper, we solve the Rankin--Selberg problem. That is, we break the well known Rankin--Selberg's bound on the error term of the second moment of Fourier coefficients of a $\mathrm{GL}(2)$ cusp… Expand

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In this note, we give a detailed proof of an asymptotic for averages of coefficients of a class of degree three $L$-functions which can be factorized as a product of a degree one and a degree two… Expand

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