Bounds for a spectral exponential sum
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Publication:5376504
DOI10.1112/jlms.12174zbMath1456.11092arXiv1803.04201OpenAlexW3103707625WikidataQ115526866 ScholiaQ115526866MaRDI QIDQ5376504
Olga G. Balkanova, Dmitriy A. Frolenkov
Publication date: 10 May 2019
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.04201
(zeta (s)) and (L(s, chi)) (11M06) Gauss and Kloosterman sums; generalizations (11L05) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Related Items (5)
Prime geodesics and averages of the Zagier L-series ⋮ Prime geodesic theorem for the Picard manifold ⋮ The second moment for counting prime geodesics ⋮ Prime geodesic theorem for the modular surface ⋮ On von Koch theorem for \(\mathrm{PSL}(2,\mathbb{Z})\)
Cites Work
- Local average in hyperbolic lattice point counting, with an appendix by Niko Laaksonen
- Prime geodesic theorem
- The cubic moment of central values of automorphic \(L\)-functions
- Mean square in the prime geodesic theorem
- The mean value of symmetric square \(L\)-functions
- Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)
- Density theorems and the mean value of arithmetical functions in short intervals
- Convolution formula for the sums of generalized Dirichlet \(L\)-functions
- Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets
- Prime geodesic theorem.
- Values of symmetric square L-functions at 1
- Averaging over Heegner Points in the Hyperbolic Circle Problem
- The prime geodesic theorem
- Asymptotic formulae for the second moments of $ L$-series of holomorphic cusp forms on the critical line
- On Some Exponential Sums
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