SECOND MOMENTS IN THE GENERALIZED GAUSS CIRCLE PROBLEM

DOI10.1017/fms.2018.26zbMath1414.11119arXiv1703.10347OpenAlexW2604265167WikidataQ128777428 ScholiaQ128777428MaRDI QIDQ4646934

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Publication date: 3 January 2019

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10347

zbMATH Keywords

Laplace transformhyperspherelattice pointgeneralized Gauss circle problem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Fourier coefficients of automorphic forms (11F30)

Related Items (7)

The Laplace transform of the second moment in the Gauss circle problem ⋮ Simultaneous visibility in the integer lattice ⋮ Non-real poles and irregularity of distribution ⋮ Triple correlation sums of coefficients of cuspidal forms ⋮ Triple correlation sums of coefficients of cusp forms ⋮ Quantum unique ergodicity for Eisenstein series in the level aspect ⋮ Half-waves and spectral Riesz means on the 3-torus

Uses Software

• GL(n)pack

Cites Work

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• The second moment of sums of coefficients of cusp forms
• Short-interval averages of sums of Fourier coefficients of cusp forms
• Subconvexity for half integral weight \(L\)-functions
• Multiple Dirichlet series and shifted convolutions
• Kloosterman sums and Fourier coefficients of cusp forms
• The mean square of Dirichlet series associated with automorphic forms
• The Rankin-Selberg method on congruence subgroups
• On the mean square formula of the error term for a class of arithmetical functions
• Multiplicative Number Theory I
• On the mean square formula of the error term in the Dirichlet divisor problem
• Exponential Sums and Lattice Points III
• ON SUMS OF THREE SQUARES

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