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Pullbacks of Siegel Eisenstein series and weighted averages of critical L-values |
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| Authors: | Nadine Amersi Jeffrey Beyerl Jim Brown Allison Proffer Larry Rolen |
| Institution: | 1. Department of Mathematics, University College London, London, UK, WC1E 6BT 2. Department of Mathematical Sciences, Clemson University, Clemson, SC, 29634, USA 3. Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA, 23284, USA 4. Department of Mathematics, University of Wisconsin-Madison, Madison, WI, 53706, USA |
| 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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