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Elliptic curves and Fourier coefficients of meromorphic modular forms

Zhang, Pengcheng
arXiv (All) · Papers
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number-theory
We discuss several (conjectural) congruences satisfied by the coefficients of meromorphic modular forms, or equivalently, the $p$-adic behaviors of meromorphic modular forms under the $U_p$ operator, all of which should be viewed as explicit $p$-adic manifestations of the motivic nature of meromorph
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