Level aspect exponential sums involving Fourier coefficients of symmetric-square lifts

DOI10.1007/S10474-024-01411-4MaRDI QIDQ6547996

Yong-Ga A

Publication date: 31 May 2024

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

automorphic formFourier coefficientadditive twistsymmetric-square liftuniform non-trivial estimate

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Hybrid subconvexity bounds for \(L \left( \frac{1}{2}, \mathrm{Sym}^2 f \otimes g\right) \)
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• La conjecture de Weil. I
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• First moment of Rankin-Selberg central \(L\)-values and subconvexity in the level aspect
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Additive twists of Fourier coefficients of 𝐺𝐿(3) Maass forms
• Cancellation in additively twisted sums on GL(n)
• Automorphic Forms and L-Functions for the GroupGL(n, R)
• Exponential sums with multiplicative coefficients
• Low lying zeros of families of \(L\)-functions

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