Ramanujan-Type Partial Theta Identities and Rank Differences for Special Unimodal Sequences

被引：9
作者：
Kim, Byungchan [1 ,2 ]
Lovejoy, Jeremy [3 ]
机构：
[1] Seoul Natl Univ Sci & Technol, Sch Liberal Arts, Seoul 139743, South Korea
[2] Seoul Natl Univ Sci & Technol, Inst Convergence Fundamental Studies, Seoul 139743, South Korea
[3] Univ Paris 07, LIAFA, CNRS, F-75205 Paris 13, France
来源：
ANNALS OF COMBINATORICS | 2015年 / 19卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
unimodal sequences; rank; partial theta functions; INEQUALITIES; PARTITIONS; CRANK;
D O I：
10.1007/s00026-015-0281-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider three types of unimodal sequences related to Ramanujan-type partial theta identities. In each case we compute generating functions related to the rank and use the partial theta identity to give formulas for certain rank differences.
引用
收藏
页码：705 / 733
页数：29
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