The additive divisor problem and its analogs for Fourier coefficients of cusp forms. II

DOI10.1007/PL00004323zbMath0919.11059MaRDI QIDQ1284354

Matti Jutila

Publication date: 21 April 1999

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174930

zbMATH Keywords

Fourier seriesMaass wave formadditive divisor problemholomorphic cusp formsPetersson inner productspectral large sievenon-holomorphic Eisenstein seriesFourier coefficients of Maass formsmean value estimate

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (6)

Weyl-type bounds for twisted \(\mathrm{GL}(2)\) short character sums ⋮ The circle method and bounds for \(L\)-functions. I ⋮ Shifted convolution of cusp-forms with \(\theta \)-series ⋮ On the binary additive divisor problem in mean ⋮ On an analogue of Titchmarsh’s divisor problem for holomorphic cusp forms ⋮ Sums of the additive divisor problem type and the inner product method

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