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arxiv: 2207.14144 · v1 · pith:5VUAE5PWnew · submitted 2022-07-28 · 🧮 math.NT

Explicit congruences for the class equations H_(-7p)(X) and H_(-28p)(X)

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keywords classcongruencesequivwhencomputationalequationequationsexplicit
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A computational proof is given for congruences modulo $p$ for the class equation $H_{-28p}(X)$, when the prime $p$ satisfies $p \equiv 3$ (mod $4$), and for the product $H_{-7p}(X) H_{-28p}(X)$, when $p \equiv 1$ (mod $4$).

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