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 ...

Eighty years ago, Ramanujan conjectured and proved some striking congruences for the partition function modulo powers of 5, 7, and 11. Until recently, only a handful of further such congruences were ...

The Rogers-Ramanujan functions satisfy some basic functional equations. We prove and use them to produce some identities that Ramanujan recorded. Journal Information Rocky Mountain Journal of ...