The rank of a unimodal sequence and a partial theta identity of Ramanujan

被引：11

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, CNRS, LIAFA, F-75205 Paris 13, France

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2014年 / 10卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Unimodal sequences; rank; partial theta functions; PARTITIONS; CRANK;

D O I：

10.1142/S179304211450016X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the number of unimodal sequences of weight n and rank m using a partial theta identity discovered by Ramanujan. We obtain rank difference identities as well as a congruence for the second rank moment.

引用

页码：1081 / 1098

页数：18

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