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

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

2010-09-02

arxiv.org/abs/1009.0308v1

Mathematics

Number Theory

12 pages

Scientific paper

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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