A nontrivial bound is proved for the average shifted convolution sum B(H,N) of Fourier coefficients of Hecke-Maass cusp forms on GL(d1) x GL(d2) for H at least N^{1-4/(d1+d2)+eps}.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.NT 3verdicts
UNVERDICTED 3representative citing papers
For self-dual GL(3) Hecke-Maass cusp forms, the normalized sum x^{-1/3} Δ_f(x) has a distribution function with quantitative convergence rate.
A new lower bound m(σ) ≥ 17/(26-28σ) holds for the supremum of m such that the m-th moment integral of |L(σ+it, sym²f)| grows at most like T^{1+ε} when 5/8 ≤ σ ≤ 52/73.
citing papers explorer
-
Average shifted convolution sum for $GL(d_1)\times GL(d_2)$
A nontrivial bound is proved for the average shifted convolution sum B(H,N) of Fourier coefficients of Hecke-Maass cusp forms on GL(d1) x GL(d2) for H at least N^{1-4/(d1+d2)+eps}.
-
Limiting Distribution and Rate of Convergence for GL(3) Fourier Coefficients
For self-dual GL(3) Hecke-Maass cusp forms, the normalized sum x^{-1/3} Δ_f(x) has a distribution function with quantitative convergence rate.
-
Higher moments of the symmetric square $L$-function off the critical line
A new lower bound m(σ) ≥ 17/(26-28σ) holds for the supremum of m such that the m-th moment integral of |L(σ+it, sym²f)| grows at most like T^{1+ε} when 5/8 ≤ σ ≤ 52/73.