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arxiv: 1203.4902 · v1 · pith:XGD6NOHSnew · submitted 2012-03-22 · 🧮 math.NT

Constructing Class invariants

classification 🧮 math.NT
keywords classallowsfunctioninvariantsmodularreciprocityshimuraverify
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Shimura reciprocity law allows us to verify that a modular function is a class invariant. Here we present a new method based on Shimura reciprocity that allows us not only to verify but to find new class invariants from a modular function of level $N$.

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