Computing polynomials of the Ramanujan $\mathbf{t_n}$ class invariants

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dc.creatorKonstantinou, Elisavet
dc.creatorKontogeorgis, Aristides
dc.date2006-10-11
dc.date.accessioned2026-07-07T07:28:58Z
dc.date.available2026-07-07T07:28:58Z
dc.descriptionWe compute the minimal polynomials of the Ramanujan values $t_n$, where $n\equiv 11 \mod 24$, using Shimura reciprocity law. These polynomials can be used for defining the Hilbert class field of the imaginary quadratic field $\mathbb{Q}(\sqrt{-n})$, and have much smaller coefficients than the Hilbert polynomials.
dc.descriptionTo appear in Canadian Math. Bulletin
dc.identifierhttps://arxiv.org/abs/math/0610372
dc.identifierhttp://arxiv.org/abs/math/0610372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117927
dc.subjectNumber Theory
dc.subject11F20,11G15,14H52
dc.titleComputing polynomials of the Ramanujan $\mathbf{t_n}$ class invariants
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