Madhuparna Das

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20242026

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math.NT2025

A central limit theorem for partitions involving generalised divisor functions

Madhuparna Das, Nicolas Robles

We let $p_{f} (n, k)$ count the $f$ -restricted coloured partitions of $n$ with $k$ parts, for a positive integer valued function $f$ , given by the bivariate generating series \[ Q_f(z,…

math.NT2024

Exponential Sums with Additive Coefficients and its Consequences to Weighted Partitions

Madhuparna Das

In this article, we consider the weighted partition function $p_{f} (n)$ given by the generating series $\sum_{n = 1}^{\infty} p_{f} (n) z^{n} = \prod_{n \in N^{*}} (1 - z^{n})^{- f (n)}$ , wh…