3 papers
math.NT2025
Some New Congruences and Partition-Theoretic Interpretations for the Coefficients of Some Rogers-Ramanujan Type Identities
Sabi Biswas, Nipen Saikia
Ramanujan listed several q-series identities in his lost notebook. The most well known q-series identities are the Rogers-Ramanujan type identities which are first discovered by Ro…
math.NT2024
Some restricted partition functions in terms of 2-adic valuation
Sabi Biswas, Nipen Saikia
The 2-adic valuation of an integer n which is the exponent of the highest power of 2 that divides n. In this paper, we give representations of certain restricted partition function…
math.NT2024
Partition-Theoretic Results and Recurrence Relations for the Coefficients of Some Mock Theta Functions
Sabi Biswas, Nipen Saikia
In the paper, we give partition-theoretic results for the coefficients of some mock theta functions and prove their congruence properties. Some recurrence relations connecting the…