Roelof Bruggeman
Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition
Bruggeman, Roelof; Diamantis, Nikolaos
Authors
Professor NIKOLAOS DIAMANTIS NIKOLAOS.DIAMANTIS@NOTTINGHAM.AC.UK
PROFESSOR OF PURE MATHEMATICS
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 | Jun 30, 2016 |
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 |
Contract Date | Jun 30, 2016 |
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