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

Allison Proffer; Jeffrey Beyerl; Jim Brown; Larry Rolen; Nadine Amersi

arxiv: 1009.0308 · v1 · pith:IHNUVG6Tnew · submitted 2010-09-02 · 🧮 math.NT

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

Nadine Amersi , Jeffrey Beyerl , Jim Brown , Allison Proffer , Larry Rolen This is my paper

classification 🧮 math.NT

keywords eisensteinseriessiegelvaluesweightedattachedaverageaverages

0 comments

read the original 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.

This paper has not been read by Pith yet.

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

discussion (0)