Double square moments and bounds for resonance sums of cusp forms
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Publication:2681242
DOI10.1016/j.jnt.2022.11.012OpenAlexW4313367696MaRDI QIDQ2681242
Yangbo Ye, Praneel Samanta, Timothy L. Gillespie
Publication date: 7 February 2023
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.03856
holomorphic cusp formPoisson's summation formularesonance sumhypothesis SPetersson's formularesonance barriersquare moment
Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)
Cites Work
- Unnamed Item
- Hyper-Kloosterman sums of different moduli and their applications to automorphic forms for \(\mathrm{SL}_m(\mathbb{Z})\)
- Resonance between automorphic forms and exponential functions
- Computing the Laplace eigenvalue and level of Maass cusp forms
- On certain exponential sums related to \(\text{GL}(3)\) cusp forms
- Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for \(\mathrm{GL}_m(\mathbb Z)\)
- Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
- Spectral square moments of a resonance sum for Maass forms
- La conjecture de Weil. I
- Weyl bound for GL(2) in \(t\)-aspect via a simple delta method
- Bounds toward hypothesis S for cusp forms
- Resonances and \(\Omega\)-results for exponential sums related to Maass forms for \(\mathrm{SL}(n, \mathbb{Z})\)
- Weighted stationary phase of higher orders
- Double first moment for \(L(\frac{1}{2}, \operatorname{Sym}^2 f \times g)\) by applying Petersson's formula twice
- The lattice point problem of many dimensional hyperboloids. III
- Sums of Fourier coefficients of a Maass form for SL3(ℤ) twisted by exponential functions
- Small eigenvalues of Laplacian for $Γ_{0}(N)$
- ASYMPTOTIC VORONOI'S SUMMATION FORMULAS AND THEIR DUALITY FOR SL3(ℤ)
- Resonance of automorphic forms for 𝐺𝐿(3)
- Low lying zeros of families of \(L\)-functions
- Resonance sums for Rankin-Selberg products of \(\mathrm{SL}_m(\mathbb{Z})\) Maass cusp forms
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