Explicit congruences for the class equations H−7p(X)H_{-7p}(X) and H−28p(X)H_{-28p}(X)

preprint2022arXivOpen access

Abstract

A computational proof is given for congruences modulo pp for the class equation H−28p(X)H_{-28p}(X), when the prime pp satisfies p≡3p \equiv 3 (mod 44), and for the product H−7p(X)H−28p(X)H_{-7p}(X) H_{-28p}(X), when p≡1p \equiv 1 (mod 44).

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