Stefani, Alessandro DeAlessandro DeStefaniMasuti, Shreedevi K.Shreedevi K.MasutiRossi, Maria EvelinaMaria EvelinaRossiVerma, Jugal K.Jugal K.Verma2025-08-282025-08-282024-12-01http://arxiv.org/abs/2412.07546http://repository.iitgn.ac.in/handle/IITG2025/20158We study the behavior of the Hilbert-Kunz multiplicity of powers of an ideal in a local ring. In dimension two, we provide answers to some problems raised by Smirnov, and give a criterion to answer one of his questions in terms of a "Ratliff-Rush version" of the Hilbert-Kunz multiplicity.en-USe-Printe-Print123456789/555