Hyper-Kloosterman sums of different moduli and their applications to automorphic forms for \(\mathrm{SL}_m(\mathbb{Z})\)

DOI10.11650/TJM.20.2016.7389zbMath1357.11068OpenAlexW2549336301MaRDI QIDQ515084

Yangbo Ye, Xiu Min Ren

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.20.2016.7389

zbMATH Keywords

hyper-Kloosterman sumsVoronoi summation formulaMaass forms for \(\mathrm{SL}_m(\mathbb{Z})\)oscillation of Maass forms

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Forms of half-integer weight; nonholomorphic modular forms (11F37) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (6)

Bounds for average toward the resonance barrier for \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) automorphic forms ⋮ Spectral square moments of a resonance sum for Maass forms ⋮ Double square moments and bounds for resonance sums of cusp forms ⋮ Sums of \(k\)-th powers and Fourier coefficients of cusp forms ⋮ Sums of \(k\)-th powers and the Whittaker-Fourier coefficients of automorphic forms ⋮ Bounds toward hypothesis S for cusp forms

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