52 citations
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Showing 2011 · math.NTShow all
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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…
math.NT2011
Rational approximations to algebraic Laurent series with coefficients in a finite field
Alina Firicel
In this paper we give a general upper bound for the irrationality exponent of algebraic Laurent series with coefficients in a finite field. Our proof is based on a method introduce…
math.NT2011
Spiegelungssatz: a combinatorial proof for the 4-rank
Laurent Habsieger, Emmanuel Royer
The Spiegelungssatz is an inequality between the (4)-ranks of the narrow ideal class groups of the quadratic fields (\mathbb{Q}(\sqrt{D})) and (\mathbb{Q}(\sqrt{-D})). We provide a…