Exponential sums twisted by Fourier coefficients of automorphic cusp forms for SL(2, ℤ)

DOI10.1142/S1793042115500025zbMath1322.11085OpenAlexW2084014568MaRDI QIDQ2941069

Bin Wei

Publication date: 21 January 2015

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

Full work available at URL: https://doi.org/10.1142/s1793042115500025

zbMATH Keywords

exponential sumsholomorphic formsVoronoi summation formula

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Fourier coefficients of automorphic forms (11F30)

Related Items (1)

Sums of Fourier coefficients of cusp forms of level \(D\) twisted by exponential functions

Cites Work

• Unnamed Item
• Resonance between automorphic forms and exponential functions
• Some remarks on odd Maass wave forms (and a correction to [1)]
• On exponential sums involving the Ramanujan function
• On the Thue-Siegel-Roth theorem.
• Subconvexity for Rankin-Selberg \(L\)-functions of Maass forms.
• La conjecture de Weil. I
• Sums of Fourier coefficients of a Maass form for SL3(ℤ) twisted by exponential functions
• Cancellation in additively twisted sums on GL(n)

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