Good functions, measures, and the Kleinbock-Tomanov conjecture

Victor Beresnevich, Shreyasi Datta, Anish Ghosh

In this paper we prove a conjecture of Kleinbock and Tomanov \cite[Conjecture~FP]{KT} on Diophantine properties of a large class of fractal measures on ${\mathbb{Q}}_p^n$. More gener…