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Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition

Bruggeman, Roelof; Diamantis, Nikolaos

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Authors

Roelof Bruggeman



Abstract

The Fourier coefficient of a second order Eisenstein series is described as a shifted convolution sum. This description is used to obtain the spectral decomposition of and estimates for the shifted convolution sum.

Citation

Bruggeman, R., & Diamantis, N. (2016). Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition. Journal of Number Theory, 167, https://doi.org/10.1016/j.jnt.2016.03.009

Journal Article Type Article
Acceptance Date Mar 8, 2016
Online Publication Date Apr 16, 2016
Publication Date Oct 1, 2016
Deposit Date Jun 30, 2016
Publicly Available Date Mar 28, 2024
Journal Journal of Number Theory
Print ISSN 0022-314X
Electronic ISSN 1096-1658
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 167
DOI https://doi.org/10.1016/j.jnt.2016.03.009
Keywords Shifted convolution sums; Spectral decomposition; Second order Maass forms
Public URL https://nottingham-repository.worktribe.com/output/974601
Publisher URL http://www.sciencedirect.com/science/article/pii/S0022314X16300567

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