On the Andrews-Zagier asymptotics for partitions without sequences

被引：2
|
作者：
Bringmann, Kathrin [1 ]
Kane, Ben [2 ]
Parry, Daniel [1 ]
Rhoades, Robert [3 ]
机构：
[1] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany
[2] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
[3] Ctr Commun Res, 805 Bunn Dr, Princeton, NJ 08540 USA
来源：
ADVANCES IN MATHEMATICS | 2017年 / 309卷
基金：
欧洲研究理事会;
关键词：
Andrews-Zagier asymptotics; Hypergeometric series; Wright functions; EXPANSION;
D O I：
10.1016/j.aim.2017.01.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish asymptotics of radial limits for certain functions of Wright. These functions appear in bootstrap percolation and the generating function for partitions without sequences of k consecutive part sizes. We specifically establish asymptotics numerically obtained by Zagier in the case k = 3. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：436 / 451
页数：16
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