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

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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
RIS ID: https://nottingham-repository.worktribe.com/output/974601
Keywords: Shifted convolution sums; Spectral decomposition; Second order Maass forms
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1016/j.jnt.2016.03.009
Depositing User: Diamantis, Dr Nikolaos
Date Deposited: 30 Jun 2016 12:01
Last Modified: 04 May 2020 20:00
URI: https://eprints.nottingham.ac.uk/id/eprint/34548

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