A Test for Identifying Fourier Coefficients of Automorphic Forms and Application to Kloosterman Sums

DOI10.1080/10586458.2000.10504660zbMath0966.11018OpenAlexW1975211404MaRDI QIDQ2706537

Andrew R. Booker

Publication date: 19 March 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1045759522

zbMATH Keywords

Kloosterman sumsFourier coefficientsHecke operatorsholomorphic newformsMass wave form

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Fourier coefficients of automorphic forms (11F30) Computational number theory (11Y99)

Related Items

On sums involving Fourier coefficients of Maass forms for \(\mathrm{SL}(3,\mathbb Z)\), Bounds and algorithms for the -Bessel function of imaginary order, Small gaps in coefficients of \(L\)-functions and \({\mathfrak B}\)-free numbers in short intervals, When Kloosterman sums meet Hecke eigenvalues, Resonance of automorphic forms for 𝐺𝐿(3)

Cites Work

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• Hecke operators and the weight distributions of certain codes
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝