Shifted convolution sums and Eisenstein series formed with modular symbols

2013/08/26 by Nikolaos Diamantis, Diamantis, Nikolaos, Roelof Bruggeman +1
Mathematics · #11F30 #11F41 #11F72 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F30 #msc:11F41 #msc:11F72

paper · pdf · doi:10.48550/arxiv.1308.5551

arxiv created 2013/08/26 · arxiv updated 2013/08/27

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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