Traces of Frobenius on specific elliptic curve families equal weighted averages or values of p-adic hypergeometric functions, producing summation identities and p-adic transformation analogues.
Ono,The web of modularity: Arithmetic of the coefficients of modular forms andq-series, CBMS, Regional Conference series in Mathematics, 102, Amer
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Weighted averages of $p$-adic hypergeometric functions and traces of Frobenius of elliptic curves
Traces of Frobenius on specific elliptic curve families equal weighted averages or values of p-adic hypergeometric functions, producing summation identities and p-adic transformation analogues.