Exponential sums formed with the von Mangoldt function and Fourier coefficients of \(\mathrm{GL}(m)\) automorphic forms

DOI10.1007/s00605-017-1068-4zbMath1428.11144OpenAlexW2619933300WikidataQ115606435 ScholiaQ115606435MaRDI QIDQ1682383

Yujiao Jiang, Guangshi Lü

Publication date: 30 November 2017

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-017-1068-4

zbMATH Keywords

Möbius functionexponential sumsautomorphic formsvon Mangoldt function

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Sums over primes (11L20) Applications of automorphic functions and forms to multiplicative problems (11N75)

Related Items (4)

Exponential sums with coefficients of the logarithmic derivative of automorphic \(L\)-functions and applications ⋮ On the Rankin-Selberg \(L\)-function related to the Godement-Jacquet \(L\)-function ⋮ The Bombieri–Vinogradov Theorem on Higher Rank Groups and its Applications ⋮ Strong orthogonality between the Möbius function, additive characters and the coefficients of the \(L\)-functions of degree three

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