%0 Journal Article %T ESTIMATE OF THE NUMBER OF RESTRICTED INTEGER-PARTITIONS %A Joel Ratsaby %J Applicable Analysis and Discrete Mathematics %D 2008 %I University of Belgrade and Academic Mind %R 10.2298/aadm0802222r %X Using the saddle-point method an estimate is computed for the number $w_{ ext{m,N}}(n)$ of ordered $m$-partitions (compositions) of a positive integer $n$ under a constraint that the size of every part is at most $N$. The approximation error rate is $O(n^{-1/5}). %K Analytic combinatorics %U http://pefmath.etf.bg.ac.yu/vol2num2/AADM-Vol2-No2-222-233.pdf