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math.NT2013
A converse to linear independence criteria, valid almost everywhere
Stéphane Fischler, Mumtaz Hussain, Simon Kristensen +1
We prove a weighted analogue of the Khintchine-Groshev Theorem, where the distance to the nearest integer is replaced by the absolute value. This is subsequently applied to proving…
math.NT2012
Connecting Interpolation and Multiplicity Estimates in Commutative Algebraic Groups
Stéphane Fischler, Michael Nakamaye
Let be a commutative algebraic group embedded in projective space and a finitely generated subgroup of . From these data we construct a chain of algebraic subgroups of $…
math.NT2011
On the values of G-functions
Stéphane Fischler, Tanguy Rivoal
Let f be a G-function (in the sense of Siegel), and x be an algebraic number; assume that the value f(x) is a real number. As a special case of a more general result, we show that…