Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition
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Publication date
2016-05-10
Authors
Bruggeman, Roelof W.
Diamantis, N.
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Document Type
Article
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taverne
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.
Keywords
Shifted convolution sums, Spectral decomposition, Second order Maass forms, Taverne
Citation
Bruggeman, R W & Diamantis, N 2016, 'Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition', Journal of Number Theory, vol. 167, no. October 2016, pp. 317-335. https://doi.org/10.1016/j.jnt.2016.03.009