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This enables us to prove a conjecture stated by Zhou in \"Integrality properties of variations of Mahler measures\" [arXiv:1006.2428v1 math.AG]. The proof of these results is an adaptation of the techniques used in our article \"Crit\\`ere pour l'int\\'egralit\\'e des coefficients de Taylor des applications miroir\", [J. Reine Angew. 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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 enables us to prove a conjecture stated by Zhou in \"Integrality properties of variations of Mahler measures\" [arXiv:1006.2428v1 math.AG]. The proof of these results is an adaptation of the techniques used in our article \"Crit\\`ere pour l'int\\'egralit\\'e des coefficients de Taylor des applications miroir\", [J. Reine Angew. 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