Généralisations Quantitatives du Critére D'indépendance Linéaire De Nesterenko

2014/03/17 by Simon Dauguet, Dauguet, Simon
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1403.4205

arxiv created 2014/03/17 · arxiv updated 2014/03/18

Abstract

In this paper we extend Fischler's quantitative generalization of Nesterenko's linear independence criterion, by weakening the hypotheses on the divisors of the coe cients of the linear forms and allowing (to some extent) the linear forms not to tend to 0. Another version of this result is proved, in the spirit of Siegel's criterion, with a recurrence relation veri ed by the linear forms. Finally, the results are restated in a more general setting in terms of convex bodies and lattices of ℝⁿ.

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