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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…