Name
Abstract | ||
|---|---|---|
Central and local limit theorems are derived for the number of distinct summands in integer partitions, with or without repetitions, under a general scheme essentially due to Meinardus. The local limit theorems are of the form of Cramér-type large deviations and are proved by Mellin transform and the two-dimensional saddle-point method. Applications of these results include partitions into positive integers, into powers of integers, into integers [ j β ], β >1, into aj + b , etc. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1006/jcta.2000.3170 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
large deviations,integer partition,meinardus's scheme,integer partitions,saddle-point method,lerch's zeta function,central and local limit theorems,limit theorem,mellin transform,zeta function,extreme value distribution | Saddle,Mellin transform,Integer,Discrete mathematics,Combinatorics,Of the form,Large deviations theory,Partition (number theory),Mathematics | Journal |
Volume | Issue | ISSN |
96 | 1 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
7 | 1.48 | 5 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hsien-Kuei Hwang | 1 | 365 | 38.02 |