Geodesic
Computing Polynomials of the Ramanujan tn Class Invariants
Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 583-597

Voir la notice de l'article provenant de la source Cambridge University Press

We compute the minimal polynomials of the Ramanujan values ${{t}_{n}}$ , where $n\,\equiv \,11\,\bmod \,24$ , using the Shimura reciprocity law. These polynomials can be used for defining the Hilbert class field of the imaginary quadratic field $\mathbb{Q}\left( \sqrt{-n} \right)$ and have much smaller coefficients than the Hilbert polynomials.
DOI : 10.4153/CMB-2009-058-6
Mots-clés : 11R29, 33E05, 11R20 
Konstantinou, Elisavet; Kontogeorgis, Aristides. Computing Polynomials of the Ramanujan tn Class Invariants. Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 583-597. doi: 10.4153/CMB-2009-058-6
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