Motohashi’s fourth moment identity for non-archimedean test functions and applications

DOI10.1112/S0010437X20007101zbMath1450.11091arXiv1902.07042MaRDI QIDQ5107805

Rizwanur Khan, Valentin Blomer, Peter J. Humphries, Micah B. Milinovich

Publication date: 28 April 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07042

zbMATH Keywords

subconvexitymoments of \(L\)-functionsspectral reciprocity

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (8)

The fourth moment of Dirichlet \(L\)-functions along the critical line ⋮ Spectral reciprocity via integral representations ⋮ An explicit formula for the second moment of Maass form symmetric square \(L\)-functions ⋮ MOMENTS AND HYBRID SUBCONVEXITY FOR SYMMETRIC-SQUARE L-FUNCTIONS ⋮ The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound ⋮ Correction to: ``Equidistribution of Eisenstein series in the level aspect ⋮ The fourth moment of individual Dirichlet \(L\)-functions on the critical line ⋮ Motohashi’s formula for the fourth moment of individual DirichletL-functions and applications

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