On Short Exponential Sums Involving Fourier Coefficients of Holomorphic Cusp Forms
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Publication:3515978
DOI10.1093/imrn/rnn022zbMath1247.11106OpenAlexW2054074859MaRDI QIDQ3515978
Kimmo Karppinen, Anne-Maria Ernvall-Hytönen
Publication date: 30 July 2008
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imrn/rnn022
Related Items (14)
On certain exponential sums related to \(\text{GL}(3)\) cusp forms ⋮ Mean square estimate for relatively short exponential sums involving Fourier coefficients of cusp forms ⋮ Higher uniformity of arithmetic functions in short intervals I. All intervals ⋮ On a variance of Hecke eigenvalues in arithmetic progressions ⋮ Moments and oscillations of exponential sums related to cusp forms ⋮ On the mean square of short exponential sums related to cusp forms ⋮ On triple correlations of Fourier coefficients of cusp forms. II ⋮ On short sums involving Fourier coefficients of Maass forms ⋮ Unnamed Item ⋮ 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 ⋮ On exponential sums for coefficients of general L-functions ⋮ Exponential sums related to Maass forms ⋮ Resonances and \(\Omega\)-results for exponential sums related to Maass forms for \(\mathrm{SL}(n, \mathbb{Z})\)
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