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math.NT2019★ 22 cited
Some results on vanishing coefficients in infinite product expansions
Nayandeep Deka Baruah, Mandeep Kaur
Recently, M. D. Hirschhorn proved that, if and $\sum_{n=0}^\infty b_nq^n:=(-q^2,-q^3;q^5)_\infty(q^3,q^7;q…
math.NT2018★ 6 cited
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 and PDO, which count the total number of tagged parts over all partitions of with designated summands and…