Integer partitions are a fundamental concept in combinatorial mathematics, where an integer is expressed as a sum of positive integers. The various ways of partitioning an integer lead to different ...

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 ...

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 ...

Integer partitions arise naturally in additive number theory, algebraic geometry, combinatorics, mathematical physics, and representation theory. We have identified a surprising role for partitions in ...

"# https://www.codewars.com/kata/546d5028ddbcbd4b8d001254\n", "Write a function named partitions which returns the number of integer partitions of n. \n", "The ...

Just a year before his death in 1920 at the age of 32, mathematician Srinivasa Ramanujan came upon a remarkable pattern in a special list of whole numbers. The list represented counts of how many ways ...