Distribution of the partition function modulo

and he conjectured further such congruences modulo arbitrary powers of 5, 7, and 11. Although the work of A. O. L. Atkin and G. N. Watson settled these conjectures many years ago, the congruences have continued to attract much attention. For example, subsequent works by G. Andrews, A. O. L. Atkin, F. Garvan, D. Kim, D. Stanton, and H. P. F. Swinnerton-Dyer ([An-G], [G], [G-K-S], [At-Sw2]), in the spirit of F. Dyson, have gone a long way towards providing combinatorial and physical explanations for their existence. Ramanujan [Ra, p. xix] already observed that his congruences were quite special. For instance, he proclaimed that