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

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Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition
 
Bruggeman, R.W.; Diamantis, N.
(2016) Journal of Number Theory, volume 167, issue October 2016, pp. 317 - 335
(Article)
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.
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Keywords: Shifted convolution sums, Spectral decomposition, Second order Maass forms, Taverne
DOI: https://doi.org/10.1016/j.jnt.2016.03.009
ISSN: 0022-314X
Publisher: Academic Press Inc.
(Peer reviewed)
 
 
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