On the asymptotic behavior for partitions separated by parity

被引：0
|
作者：
Bringmann, Kathrin [1 ]
Craig, William [2 ]
Nazaroglu, Caner [1 ]
机构：
[1] Univ Cologne, Dept Math & Comp Sci, Cologne, Germany
[2] United States Naval Acad, Annapolis, MD USA
来源：
ELECTRONIC JOURNAL OF COMBINATORICS | 2025年 / 32卷 / 01期
基金：
欧洲研究理事会;
关键词：
EVEN PARTS;
D O I：
10.37236/12886
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The study of partitions with parts separated by parity was initiated by Andrews in connection with Ramanujan's mock theta functions, and his variations on this theme have produced generating functions with a large variety of different modular properties. In this paper, we use Ingham's Tauberian theorem to compute the asymptotic main term for each of the eight functions studied by Andrews.
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页数：18
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