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

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

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

Number Theory 2010-09-03 v1

Authors: Nadine Amersi , Jeffrey Beyerl , Jim Brown , Allison Proffer , Larry Rolen

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.

Keywords

Siegel Eisenstein series pullback L-function elliptic modular form weighted average special value spectral decomposition

Cite

@article{arxiv.1009.0308,
  title  = {Pullbacks of Siegel Eisenstein Series and Weighted Averages of Critical $L$-values},
  author = {Nadine Amersi and Jeffrey Beyerl and Jim Brown and Allison Proffer and Larry Rolen},
  journal= {arXiv preprint arXiv:1009.0308},
  year   = {2010}
}

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12 pages

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

Abstract

Keywords

Cite

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