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

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

2009-12-18

arxiv.org/abs/0912.3776v1

Mathematics

Number Theory

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Critère pour l'intégralité des coefficients de Taylor des applications miroir does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Critère pour l'intégralité des coefficients de Taylor des applications miroir, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critère pour l'intégralité des coefficients de Taylor des applications miroir will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-350281