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math.CO2026
Hook Length Biases in -Core Partitions
Nayandeep Deka Baruah, Hirakjyoti Das, Pankaj Jyoti Mahanta +1
Recently, the theory of hook length biases has emerged as a prominent research topic. Led by Ballantine, Burson, Craig, Folsom, and Wen [\textit{Res. Math. Sci.}, 2023], hook lengt…
math.CO2026
Combinatorial proofs of some identities on overpartitions with repeated smallest non-overlined part
Nayandeep Deka Baruah, Haijun Li, Pankaj Jyoti Mahanta
Let denote the number of overpartitions of where the smallest non-overlined part, say , appears times and every overlined part is bigger…
math.CO2024★ 1 cited
The -Color Partition Function and Some Counting Theorems
Subhajit Bandyopadhyay, Nayandeep Deka Baruah
Recently, Merca and Schmidt found some decompositions for the partition function in terms of the classical Möbius function as well as Euler's totient. In this paper, we defi…