Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

Partition theory, a central branch of combinatorial number theory, concerns itself with the enumeration and properties of the ways in which integers may be decomposed into sums of positive integers ...

Associate Professor of Mathematics, William Keith, PhD, Michigan Tech University, will present "Ramanujan-Kolberg identities, regular partitions, and multipartitions" on March 8. Abstract: ...

Born poor in colonial India and dead at 32, Ramanujan had fantastical, out-of-nowhere visions that continue to shape the field today. One afternoon in January 2011, Hussein Mourtada leapt onto his ...

This work deals with a new generalization of r-Stirling numbers using l-tuple of permutations and partitions called (l, r)-Stirling numbers of both kinds. We study various properties of these numbers ...