Symbolic Computation for Rankin-Cohen Differential Algebras: A Case Study
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DOI: 10.1007/s11786-017-0318-0
Abstract: Don Zagier defined a “Rankin-Cohen algebra”, motivated by the study of differential operators that send modular forms to modular forms. We devised an algorithm that computes the result of the differentiation given by the modular… read more here.
Keywords: symbolic computation; rankin cohen; computation rankin; cohen differential ... See more keywords
Rankin-Cohen brackets of eigenforms and modular forms
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DOI: 10.1016/j.jnt.2020.04.013
Abstract: Abstract 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 underlying spaces. This… read more here.
Keywords: eigenform; rankin cohen; cohen bracket; cohen ... See more keywords