Solution
= Solution
The partition is $p$-regular precisely when
$$
a_j<p\qquad\text{for every }j,
$$
that is, when no part occurs $p$ or more times. This is the definition of a <regular partition> in <characteristic of a field> $p$.
= Solution
The partition is $p$-regular precisely when
$$
a_j<p\qquad\text{for every }j,
$$
that is, when no part occurs $p$ or more times. This is the definition of a <regular partition> in <characteristic of a field> $p$.