Mean value estimates for exponential sums and L-functions: a spectral theoretic approach.

DOI10.1515/crll.1995.459.61zbMath0809.11043OpenAlexW3168248350MaRDI QIDQ4320500

Yoichi Motohashi, Matti Jutila

Publication date: 2 February 1995

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002212331

zbMATH Keywords

exponential sumslarge sieveDirichlet \(L\)-functionsFourier coefficient of cusp formsmean value estimatespectral theory on automorphic functionstype estimate

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) (zeta (s)) and (L(s, chi)) (11M06) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (7)

Equidistribution of Eisenstein series on geodesic segments ⋮ The Twelfth Moment of Dirichlet L-functions with Smooth Moduli ⋮ The cubic Pell equation $L$-function ⋮ The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound ⋮ Sums of the additive divisor problem type and the inner product method ⋮ The additive divisor problem and its analogs for Fourier coefficients of cusp forms. I ⋮ Motohashi’s formula for the fourth moment of individual DirichletL-functions and applications

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