5 citations · 5 across the 2 of their papers we have counts for
4 papers
Some supercongruences of arbitrary length
Frits Beukers, Eric Delaygue
We prove supercongruences modulo for values of truncated hypergeometric series at some special points. The parameters of the hypergeometric series are copies of and…
On Dwork's p-adic formal congruences theorem and hypergeometric mirror maps
Eric Delaygue, Tanguy Rivoal, Julien Roques
Using Dwork's theory, we prove a broad generalisation of his famous p-adic formal congruences theorem. This enables us to prove certain p-adic congruences for the generalized hyper…
Criterion for the integrality of the Taylor coefficients of mirror maps in several variables
Eric Delaygue
We give a necessary and sufficient condition for the integrality of the Taylor coefficients at the origin of formal power series $q_i({\mathbf z})=z_i\exp(G_i({\mathbf z})/F({\math…
Intégralité des coefficients de Taylor de racines d'applications miroir
Eric Delaygue
We prove the integrality of the Taylor coefficients of roots 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…