Research in the asymptotic analysis of integer partitions has its roots in the seminal work of Hardy and Ramanujan and has since evolved through the integration of advanced analytic, combinatorial, ...

At first glance, the multisets of positive integers that add to n, known as integer partitions, and Euler’s number e do not have much in common. However, if you take the reciprocal product of the ...

Using a notion called integer partitions, mathematicians have discovered a new way to detect prime numbers while also connecting two areas of math in an unexpected way When you purchase through links ...

https://doi.org/10.4169/amer.math.monthly.124.9.844 • https://www.jstor.org/stable/10.4169/amer.math.monthly.124.9.844 Copy URL The theory of s-core partitions ...

Prime numbers, those integers divisible only by one and themselves, have fascinated mathematicians for millennia. Their distribution among other numbers remains a mystery, despite technological ...

Researchers have found a fractal pattern underlying everyday math. In the process, they’ve discovered a way to calculate partition numbers, a challenge that’s stymied mathematicians for centuries.

The study of integer partitions has a long and storied history, notably beginning with the pioneering work of Hardy and Ramanujan, and continues to be enriched by modern asymptotic techniques. Recent ...