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arxiv: 1308.5551 · v1 · pith:ZWAFGWKPnew · submitted 2013-08-26 · 🧮 math.NT

Shifted convolution sums and Eisenstein series formed with modular symbols

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keywords convolutionshiftedeisensteinseriescoefficientdecompositiondescribeddescription
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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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