3 papers
math.NT2026
Parity of parts and excludant statistics in partitions
Gargi Mukherjee
In this paper, we study restricted excludant statistics depending on its parity in partitions where parts with same parity are distinct. Using -series transformations, we show t…
math.CO2025
Asymptotics and inequalities for the distinct partition function
Gargi Mukherjee, Helen W. J. Zhang, Ying Zhong
In this paper, we give explicit error bounds for the asymptotic expansion of the shifted distinct partition function for any nonnegative integer . Then based on this r…
math.NT2024
Asymptotic expansion for the Fourier coefficients associated with the inverse of the modular discriminant function
Gargi Mukherjee
There have been a plethora of investigations carried out in studying inequalities for the Fourier coefficients of weakly holomorphic modular forms, for example, on the partition fu…