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arxiv: 1405.5423 · v2 · pith:3OSXLHY2new · submitted 2014-05-21 · 🧮 math.NT

On some Fricke families and application to the Lang-Schertz conjecture

classification 🧮 math.NT
keywords frickeconjecturefamiliesfieldsfunctionslang-schertzapplicationclass
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We first investigate two kinds of Fricke families consisting of Fricke functions and Siegel functions, respectively. And, in terms of their special values we generate ray class fields of imaginary quadratic fields, which is related to the Lang-Schertz conjecture.

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