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| Title: | Lenstra's constant and extreme forms in number fields |
| Authors: | Coulangeon, R.
Icaza, M.I.
O'Ryan, M. |
| Keywords: | Humbert forms
extreme forms |
| Issue Date: | 2007 |
| Publisher: | A K Peters Ltd. |
| Citation: | Experimental Mathematics 16(4): 455-462 |
| Abstract: | In this paper we compute gamma(K,2) for K = Q(rho), where rho is the real root of the polynomial x(3) - x(2) + 1 = 0. We refine some techniques introduced in [Baeza et al. 01] to construct all possible sets of minimal vectors for perfect forms. These refinements include a relation between minimal vectors and the Lenstra constant. This construction gives rise to results that can be applied in several other cases. |
| Description: | Coulangeon, R (reprint author), Univ Bordeaux 1, Inst Math Bordeaux, 351 Cours Liberat, F-334405 Talence, France |
| URI: | http://dspace.utalca.cl/handle/1950/7778 |
| ISSN: | 1058-6458 |
| Appears in Collections: | Artículos en publicaciones ISI - Universidad de Talca
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