On the shifted convolution problem in mean

DOI10.1016/J.JNT.2012.03.007zbMath1284.11079arXiv1202.3906OpenAlexW1967225866MaRDI QIDQ432474

Eeva Vehkalahti

Publication date: 4 July 2012

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

Full work available at URL: https://arxiv.org/abs/1202.3906

zbMATH Keywords

circle methodspectral theoryshifted convolution problem

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

• Distribution of rational numbers in short intervals
• The spectral decomposition of shifted convolution sums
• Lectures on a method in the theory of exponential sums
• Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
• La conjecture de Weil. I
• Uniform bound for Hecke \(L\)-functions
• Topics in multiplicative number theory
• On exponential sums involving the Fourier coefficients of Maass wave forms.
• A Burgess-like subconvex bound for twisted L-functions
• The spectral growth of automorphic L-functions.
• The binary additive divisor problem
• On spectral large sieve inequalities
• The additive divisor problem and its analogs for Fourier coefficients of cusp forms. I
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