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- W2051611619 abstract "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)), where F(z) and G(z)+log(z)F(z) are particular solutions of certain generalized hypergeometric differential equations. This criterion is based on the analytical properties of Landau's function (which is classically associated to the sequences of factorial ratios) and it generalizes results proved by Krattenthaler-Rivoal in On the integrality of the Taylor coefficients of mirror maps (to appear in Duke Math. J.). One of the techniques used to prove this criterion is a generalization of a theorem of Dwork on the formal congruences between formal series, which proved to be insufficient for our purposes." @default.
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- W2051611619 date "2011-06-18" @default.
- W2051611619 modified "2023-10-17" @default.
- W2051611619 title "Critère pour l'intégralité des coefficients de Taylor des applications miroir" @default.
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- W2051611619 doi "https://doi.org/10.1515/crelle.2011.094" @default.
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