2016/06/26 by Boris Granovsky, Granovsky, Boris
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO
paper · pdf · doi:10.48550/arxiv.1606.08016
30 pages. This is a revised version that incorporates changes implied by remarks of a referee
arxiv created 2017/06/27 · arxiv updated 2017/06/28
In this paper we prove the necessity of the main sufficient condition of Meinardus for sub exponential rate of growth of the number of structures, having multiplicative generating functions of a general form and establish a new necessary and suffcient condition for normal local limit theorem for aforementioned structures. The latter result allows to encompass in our study structures with weights having gaps in their supports.