Corpus ID: 209439672

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
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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 twoExpand
On the Rankin–Selberg problem
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 $\mathrm{GL}(2)$ cuspExpand

References

SHOWING 1-10 OF 42 REFERENCES
Analytic Twists of GL3 × GL2 Automorphic Forms
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 forExpand
On the Rankin-Selberg problem, Math
  • Ann., posted on 2021,
  • 2021
The Weyl bound for triple product L-functions
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) ofExpand
Averages of coefficients of a class of degree 3 L-functions
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 twoExpand
On the Rankin–Selberg problem
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 $\mathrm{GL}(2)$ cuspExpand
Series
  • Definitions
  • 2020
Singh, t-aspect subconvexity for GL(2) × GL(2) L-function
  • 2020
A BESSEL DELTA METHOD AND EXPONENTIAL SUMS FOR GL(2)
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 toExpand
A new subconvex bound for GL(3) L-functions in the t-aspect
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 carefulExpand
Non-linear additive twist of Fourier coefficients of $GL(3)$ Maass forms
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-linearExpand
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