Proceedings of the National Academy of Sciences of the United States of America, Vol. 108, No. 2 (January 11, 2011), pp. 473-476 (4 pages) Ramanujan-type congruences for the Andrews spt(n) partition ...
The two main results are: (1) Let $S$ be a semigroup which satisfies the relation $abcd = acbd$, let $A$ be a subsemigroup of Reg $S$ which is a band of groups and ...
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 ...