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fricke families

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

On some Fricke families and application to the Lang–Schertz conjecture
Part of
- Discontinuous groups and automorphic forms
- Arithmetic algebraic geometry
Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 146 / Issue 4 / August 2016

Published online by Cambridge University Press:

18 May 2016, pp. 723-740

Print publication:

August 2016
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We investigate two kinds of Fricke families, those consisting of Fricke functions and those consisting of Siegel functions. In terms of their special values we then generate ray class fields of imaginary quadratic fields over the Hilbert class fields, which are related to the Lang–Schertz conjecture.