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

Bruggeman, Roelof and Diamantis, Nikolaos (2016) Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition. Journal of Number Theory, 167 . pp. 317-335. ISSN 1096-1658

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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.

Item Type: Article
Keywords: Shifted convolution sums; Spectral decomposition; Second order Maass forms
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1016/j.jnt.2016.03.009
Depositing User: Diamantis, Dr Nikolaos
Date Deposited: 30 Jun 2016 12:01
Last Modified: 13 Sep 2016 19:03
URI: http://eprints.nottingham.ac.uk/id/eprint/34548

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