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

Bruggeman, Roelof; Diamantis, Nikolaos

Authors

Roelof Bruggeman

Nikolaos Diamantis pmznd@maths.nottingham.ac.uk



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.

Journal Article Type Article
Publication Date Oct 1, 2016
Journal Journal of Number Theory
Print ISSN 0022-314X
Electronic ISSN 1096-1658
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 167
APA6 Citation Bruggeman, R., & Diamantis, N. (2016). Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition. Journal of Number Theory, 167, doi:10.1016/j.jnt.2016.03.009
DOI https://doi.org/10.1016/j.jnt.2016.03.009
Keywords Shifted convolution sums; Spectral decomposition; Second order Maass forms
Publisher URL http://www.sciencedirect.com/science/article/pii/S0022314X16300567
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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