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arxiv: 1710.07181 · v1 · pith:QSLAOLINnew · submitted 2017-09-28 · 🧮 math.NT

Chudnovsky-Ramanujan Type Formulae for the Legendre Family

classification 🧮 math.NT
keywords chudnovsky-ramanujanfamilylegendretypeapplycurvesderiveelliptic
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We apply the method established in our previous work to derive a Chudnovsky-Ramanujan type formula for the Legendre family of elliptic curves. As a result, we prove two identities for $1/\pi$ in terms of hypergeometric functions.

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