3 papers
math.NT2025
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…
math.NT2025
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…
math.NT2025
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=…