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arXiv · 1009.0308

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

Nadine Amersi·Jeffrey Beyerl·Jim Brown·Allison Proffer·Larry Rolen
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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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Nadine Amersi, Jeffrey Beyerl, Jim Brown, Allison Proffer, Larry Rolen. 2010-09-02. Pullbacks of Siegel Eisenstein Series and Weighted Averages of Critical $L$-values. https://arxiv.org/abs/1009.0308

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