Pullbacks of Siegel Eisenstein Series and Weighted Averages of Critical L-values

2010/09/02 by Amersi, Nadine, Beyerl, Jeffrey, Brown, Jim +2
#11F30 (Secondary) #11F67 (Primary) 11F46 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1009.0308

Abstract

In this paper we obtain a weighted average formula for special values of L-functions attached to normalized elliptic modular forms of weight k and full level. These results are obtained by studying the pullback of a Siegel Eisenstein series and working out an explicit spectral decomposition.

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