New K4 and K5 eta-quotient families express Hecke eigenform coefficients via finite-field periods and produce identities with Appell series F1^p and F2^p.
McCarthy,On a supercongruence conjecture of Rodriguez-Villegas, Proc
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Explicit hypergeometric modularity of certain weight two and four Hecke eigenforms
New K4 and K5 eta-quotient families express Hecke eigenform coefficients via finite-field periods and produce identities with Appell series F1^p and F2^p.