A variant of Lehmer's conjecture

DOI10.1016/J.JNT.2006.06.004zbMath1106.11015OpenAlexW2080760594WikidataQ123347119 ScholiaQ123347119MaRDI QIDQ868900

V. Kumar Murty

Publication date: 26 February 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.06.004

zbMATH Keywords

Fourier coefficientsChebotarev density theoremCusp form

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Density theorems (11R45) Applications of automorphic functions and forms to multiplicative problems (11N75)

Related Items (4)

On the coefficients of an eigenform ⋮ Coprimality of Fourier coefficients of eigenforms ⋮ Fourier coefficients of forms of CM-type ⋮ Overview of the Work of Kumar Murty

Cites Work

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• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• Divisibilite de certaines fonctions arithmétiques
• Some effective cases of the Brauer-Siegel theorem
• The vanishing of Ramanujan's function \(\tau(n)\)
• Ramanujan's function \(\tau(n)\)
• on l-adic representations attached to modular forms II
• Some results in number theory, I
• On the Multiplication of Series

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