2025/08/05 by da Silva, Robson
#05A17 (Secondary) #11P83 (Primary) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2508.03971
In a recent paper, Jin, Liu, and Xia \citeJLX presented some modulo 4 congruences for spt2(n), the number of smallest parts in the overpartitions of n where the smallest part is even and is not overlined. In this paper, we extend the list of such congruences in two directions. First, we prove some new individual congruences for spt2(n). Then, we provide a number of infinite families of Ramanujan-like congruences satisfied by spt2(n).