Singular values of the Rogers-Ramanujan continued fraction
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| Publication date |
1999
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| Publisher |
s.n.
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| Organisations |
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Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| Abstract |
Let $z\in\C$ be imaginary quadratic in the upper half plane.Then the Rogers-Ramanujan continued fraction evaluated at $q=e^{2\pi i z}$ is contained in a class field of $\Q(z)$. Ramanujan showed that for certain values of $z$, one can write these continued fractions as nested radicals. We use the Shimura reciprocity law to obtain such nested radicals whenever $z$ is imaginary quadratic.
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| Document type |
Working paper
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