Conditions dʹintegrité de certains coefficients hypergéometriques: Généralisation dʹun théorème de Landau Original Research Article

We extend to homogeneous functions one of Laudauʹs theorems about integral product—quotients of factorials of linear forms. We also define the notion of ‘integrality cone’ of those product—quotients. Finally, we propose a nontrivial example of a non-linear product—quotient which is integral or is not depending on the arithmetic nature of a parameter.