Resonance between automorphic forms and exponential functions
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Publication:625837
DOI10.1007/s11425-010-3150-4zbMath1250.11078OpenAlexW2028486628MaRDI QIDQ625837
Publication date: 25 February 2011
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-010-3150-4
Related Items (18)
Sums of Fourier coefficients of cusp forms of level \(D\) twisted by exponential functions ⋮ Exponential sums twisted by Fourier coefficients of automorphic cusp forms for SL(2, ℤ) ⋮ Bounds for average toward the resonance barrier for \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) automorphic forms ⋮ Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for \(\mathrm{GL}_m(\mathbb Z)\) ⋮ Spectral square moments of a resonance sum for Maass forms ⋮ Double square moments and bounds for resonance sums of cusp forms ⋮ On some exponential sums involving Maass forms over arithmetic progressions ⋮ On exponential sums involving Fourier coefficients of cusp forms ⋮ Exponential sums involving automorphic forms for \(\mathrm{GL}(3)\) over arithmetic progressions ⋮ Exponential sums involving Maass forms ⋮ Computing the Laplace eigenvalue and level of Maass cusp forms ⋮ Resonance sums for Rankin-Selberg products of \(\mathrm{SL}_m(\mathbb{Z})\) Maass cusp forms ⋮ On exponential sums for coefficients of general L-functions ⋮ Resonance of automorphic forms for 𝐺𝐿(3) ⋮ Weight aspect exponential sums for Fourier coefficients of cusp forms ⋮ Resonances and \(\Omega\)-results for exponential sums related to Maass forms for \(\mathrm{SL}(n, \mathbb{Z})\) ⋮ Bounds toward hypothesis S for cusp forms ⋮ Sums of Fourier coefficients of cusp forms of level 𝐷 twisted by exponential functions over arithmetic progressions
Cites Work
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- ON CUSP FORM COEFFICIENTS IN NONLINEAR EXPONENTIAL SUMS
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Low lying zeros of families of \(L\)-functions
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