Journal of the Ramanujan Mathematical Society

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On Rankin-Cohen Brackets of Eigenforms


Affiliations
1 Department of Mathematics, Western Kentucky University, Bowling Green, KY 42101-5730, United States
2 Mathematics Department, Princeton University, Princeton, NJ 08544-1000, United States
     

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Let f and g be two modular forms of weights k and l on a congruence subgroup Γ. The nth Rankin-Cohen bracket of f and g is defined by the formula.
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  • On Rankin-Cohen Brackets of Eigenforms

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Authors

Dominic Lanphier
Department of Mathematics, Western Kentucky University, Bowling Green, KY 42101-5730, United States
Ramin Takloo-Bighash
Mathematics Department, Princeton University, Princeton, NJ 08544-1000, United States

Abstract


Let f and g be two modular forms of weights k and l on a congruence subgroup Γ. The nth Rankin-Cohen bracket of f and g is defined by the formula.