Mahler's theorem

Mahler's theorem, in the context of number theory and algebraic geometry, typically relates to properties of algebraic varieties and functions. However, its most common reference is within the scope of p-adic analysis, particularly dealing with the distribution of rational points on algebraic varieties. One notable version of Mahler's theorem concerns the non-vanishing of certain types of p-adic integrals and the relationship between algebraic varieties and their rational points.