Asymptotic enumeration by Khintchine-Meinardus method: Necessary and sufficient conditions for sub exponential growth

Autor:	Granovsky, Boris
Rok vydání:	2016
Předmět:	Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 30 pages. This is a revised version that incorporates changes implied by remarks of a referee
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1606.08016 Zobrazit plný text záznamu View this record from Arxiv