ON THE ERROR TERM IN THE APPROXIMATE FUNCTIONAL EQUATION FOR EXPONENTIAL SUMS RELATED TO CUSP FORMS

DOI10.1142/S1793042108001730zbMath1251.11025MaRDI QIDQ5506309

Anne-Maria Ernvall-Hytönen

Publication date: 28 January 2009

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

zbMATH Keywords

exponential sumsholomorphic cusp formsapproximate functional equation

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Related Items (4)

Moments and oscillations of exponential sums related to cusp forms ⋮ On sums involving Fourier coefficients of Maass forms for \(\mathrm{SL}(3,\mathbb Z)\) ⋮ On fourth and higher moments of short exponential sums related to cusp forms ⋮ Exponential sums related to Maass forms

Cites Work

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• On exponential sums involving the Ramanujan function
• Uniform bound for Hecke \(L\)-functions

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