Browsing Combinatorics and Optimization by Subject "integer partitions"
Now showing items 1-1 of 1
-
Computing the Residue Class of Partition Numbers
(University of Waterloo, 2016-09-14)In 1919, Ramanujan initiated the study of congruence properties of the integer partition function $p(n)$ by showing that $$p(5n+4) \equiv 0 \mod{5}$$ and $$p(7n+5) \equiv 0 \mod{7}$$ hold for all integers $n$. These results ...