New Congruences Modulo 2, 4, and 8 for the Number of Tagged Parts Over the Partitions with Designated Summands

Nayandeep Deka Baruah, Mandeep Kaur

Recently, Lin introduced two new partition functions PD${}_t(n)$ and PDO${}_t(n)$, which count the total number of tagged parts over all partitions of $n$ with designated summands and…