A Problem of Rankin on Sums of Powers of Cusp-Form Coefficients

DOI10.1112/jlms/s2-44.2.203zbMath0757.11014OpenAlexW1976401063MaRDI QIDQ4009490

R. W. K. Odoni

Publication date: 27 September 1992

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-44.2.203

zbMATH Keywords

error estimateasymptotic formulaFourier coefficientsTauberian remainder theoremcusp form of integral weight

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (5)

Almost all Fourier coefficients of symmetric power \(L\)-functions are small ⋮ Moments of ideal class counting functions ⋮ Fractional moments of automorphic $L$-functions ⋮ Roots of unity and nullity modulo $n$ ⋮ Values of the Euler phi function not divisible by a given odd prime

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