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

页码：436 / 451

页数：16

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