  It is known that any $m$-gonal form of rank $n \ge 5$ is almost regular. On
the other words, any $m$-gonal form of rank $n \ge 5$ represents every
sufficiently large integer which is locally represented. In this article, we
study the sufficiently large integers which are represented by (almost regular)
$m$-gonal forms of rank $n \ge 5$.
