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4 papers
Arithmetic Identities for Some Analogs of -core Partition Function
Subhajit Bandyopadhyay, Nayandeep Deka Baruah
Recently, Gireesh, Ray, and Shivashankar studied an analog, , of the -core partition function, . In this paper, we study the function $\overline{a}_5(…
A Note on the Number of Representations of as a Sum of Generalized Polygonal Numbers
Subhajit Bandyopadhyay, Nayandeep Deka Baruah
Recently, Jha (arXiv:2007.04243, arXiv:2011.11038) has found identities that connect certain sums over the divisors of to the number of representations of as a sum of squar…
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…
Results on some partition functions arising from certain relations involving the Rogers-Ramanujan continued fractions
Nayandeep Deka Baruah, Nilufar Mana Begum, Hirakjyoti Das
Relations involving the Rogers-Ramanujan continued fractions and are used to find new generating functions and congruences modulo 5 and 25 for 3-core, 4…