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11r37 (primary)

Bulletin of the London Mathematical Society (1)

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PRINCIPAL MODULI AND CLASS FIELDS
DAVID COX, JOHN McKAY, PETER STEVENHAGEN
Journal:

Bulletin of the London Mathematical Society / Volume 36 / Issue 1 / January 2004

Published online by Cambridge University Press:

23 December 2003, pp. 3-12

Print publication:

January 2004
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The values taken by $\Gamma_0(n)$-modular functions at elliptic points of order 2 for the Fricke group $\Gamma_0(n)^\dagger$ that lie outside $\Gamma_0(n)$ are studied. In the case of a principal modulus (‘Hauptmodul’) for $\Gamma_0(n)$ or $\Gamma_0(n)^\dagger$, the class fields generated by these values are determined.