Institut Fourier

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19952026

most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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Showing 2009 · math.NTShow all

3 papers · 2 filters

math.NT2009★ 15 cited

Critère pour l'intégralité des coefficients de Taylor des applications miroir

Eric Delaygue

We give a necessary and sufficient condition for the integrality of the Taylor coefficients of mirror maps at the origin. By mirror maps, we mean formal power series z.exp(G(z)/F(z…

math.NT2009

Irrationality exponent and rational approximations with prescribed growth

Stéphane Fischler, Tanguy Rivoal

Let $ξ$ be a real irrational number. We are interested in sequences of linear forms in 1 and $ξ$ , with integer coefficients, which tend to 0. Does such a sequence exist such that t…

math.NT2009★ 21 cited

On the integrality of the Taylor coefficients of mirror maps

Christian Krattenthaler, Tanguy Rivoal

We show that the Taylor coefficients of the series $q (z) = z exp (G (z) / F (z))$ are integers, where $F (z)$ and $G (z) + lo g (z) F (z)$ are specific solut…