# 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 ∞

## One Citation

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…

## References

SHOWING 1-10 OF 42 REFERENCES

Analytic Twists of GL3 × GL2 Automorphic Forms

- MathematicsInternational Mathematics Research Notices
- 2021

Let $\pi $ be a Hecke–Maass cusp form for $\textrm{SL}_3(\mathbb{Z})$ with normalized Hecke eigenvalues $\lambda _{\pi }(n,r)$. Let $f$ be a holomorphic or Maass cusp form for…

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

- MathematicsThe Ramanujan Journal
- 2021

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 L…

On the Rankin-Selberg problem, Math

- Ann., posted on 2021,
- 2021

The Weyl bound for triple product L-functions

- Mathematics
- 2021

Let π1, π2, π3 be three cuspidal automorphic representations for the group SL(2,Z), where π1 and π2 are fixed and π3 has large conductor. We prove a subconvex bound for L(1/2, π1⊗ π2 ⊗ π3) of…

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…

Singh, t-aspect subconvexity for GL(2) × GL(2) L-function

- 2020

A BESSEL DELTA METHOD AND EXPONENTIAL SUMS FOR GL(2)

- Mathematics
- 2019

In this paper, we introduce a simple Bessel $\delta$-method to the theory of exponential sums for $\rm GL_2$. Some results of Jutila on exponential sums are generalized in a less technical manner to…

A new subconvex bound for GL(3) L-functions in the t-aspect

- Mathematics
- 2019

We revisit Munshi's proof of the $t$-aspect subconvex bound for $\rm GL(3)$ $L$-functions, and we are able to remove the `conductor lowering' trick. This simplification along with a more careful…

Non-linear additive twist of Fourier coefficients of $GL(3)$ Maass forms

- Mathematics
- 2019

Let $\lambda_{\pi}(1,n)$ be the Fourier coefficients of the Hecke-Maass cusp form $\pi$ for $SL(3,\mathbb{Z})$. The aim of this article is to get a non trivial bound on the sum which is non-linear…