3 papers
math.GM2026
Mapping Mathematical Hardness: Machine-Assisted Conjecture Discovery and the Quantification of Non-Triviality
Madhuparna Das
Machine-assisted mathematical discovery has been a long-standing challenge in machine learning and artificial intelligence. In recent years, we have seen tremendous progress with g…
math.NT2026
A central limit theorem for partitions involving generalised divisor functions
Madhuparna Das, Nicolas Robles
We define an -restricted partition of fixed length given by the bivariate generating series \begin{align*} Q_f(z,u) \coloneqq 1+\sum_{n=1}^{\infty}\sum_{k=1}^{\in…
math.NT2024
Exponential Sums with Additive Coefficients and its Consequences to Weighted Partitions
Madhuparna Das
In this article, we consider the weighted partition function given by the generating series , wh…