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math.NT2018★ 17 cited
On Andrews' integer partitions with even parts below odd parts
Chiranjit Ray, Rupam Barman
Recently, Andrews defined a partition function which counts the number of partitions of in which every even part is less than each odd part. He also defined a…
math.NT2018
Arithmetic properties of cubic and overcubic partition pairs
Chiranjit Ray, Rupam Barman
Let denote the number of cubic partition pairs of . We give affirmative answer to a conjecture of Lin, namely, we prove that We also prov…