Arithmetic properties of partition functions introduced by Pushpa and Vasuki

Abstract

In this short note, we prove several infinite families of congruences for certain restricted partition functions introduced by Pushpa and Vasuki (2022), thereby also proving a conjecture of Dasappa et al. (2024). We further establish some isolated congruences that appear to have been overlooked by earlier authors. Our proofs employ several methods: elementary dissections, Huffing operator technique, and nontrivial applications of the algorithmic method of Radu (and Smoot). © 2026