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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
method 1
citation-polarity summary
fields
math.NT 2years
2026 2roles
method 1polarities
use method 1representative citing papers
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.
citing papers explorer
-
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.
-
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.