5 papers
A Combinatorial Proof of an Identity of Malik and Sarma on Overpartitions with Repeated Smallest Non-Overlined Part
Suparno Ghoshal, Arijit Jana
Motivated by the work of Andrews and El Bachraoui on partitions with repeated smallest parts, Malik and Sarma recently extended this concept to overpartitions. Using generating fun…
Proof of a Conjecture on Overcolored Partition Restricted by Parity of the Parts
Imdadul Hussain, Suparno Ghoshal, Arijit Jana
In a recent paper, Thejitha and Fathima introduced the overcolored partition function , which enumerates overpartitions in which even parts may appear in one of $…
Combinatorial proof of a result on generalized overcubic partitions and related conjectures
Suparno Ghoshal, Arijit Jana
Extending Sellers' result, Das et al. recently proved some congruence results for generalized overcubic partitions using theta functions and posed some related conjectures. In this…
Further results on arithmetic properties of biregular overpartitions
Suparno Ghoshal, Arijit Jana
Recently there has been quite a bit of study carried out related to arithmetic properties of overpartitions into non-multiples of two co-prime integers. The paper [19] by Nadji et…
Discussion on some conjectures regarding the periodicity of sign patterns of certain infinite products involving the Rogers-Ramanujan Continued Fractions
Suparno Ghoshal, Arijit Jana
Let denote the Rogers-Ramanujan continued fraction. Define $$ \frac{1}{R^5(q)}=\displaystyle \sum_{n=0}^{\infty}A(n)q^{n} \quad \text{and} \quad R^5(q)=\displaystyle\sum_{n=…