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math.NT2021
Rankin-Cohen brackets of eigenforms and modular forms
Jeffrey Beyerl
We use Maeda's Conjecture to prove that the Rankin-Cohen bracket of an eigenform and any modular form is only an eigenform when forced to be because of the dimensions of the underl…
math.NT2011★ 11 cited
Products of Nearly Holomorphic Eigenforms
Jeffrey Beyerl, Kevin James, Catherine Trentacoste +1
We prove that the product of two nearly holomorphic Hecke eigenforms is again a Hecke eigenform for only finitely many choices of factors.
math.NT2010
Pullbacks of Siegel Eisenstein Series and Weighted Averages of Critical -values
Nadine Amersi, Jeffrey Beyerl, Jim Brown +2
In this paper we obtain a weighted average formula for special values of -functions attached to normalized elliptic modular forms of weight and full level. These results are…