New proofs of the septic Rogers-Ramanujan identities

被引：0

作者：

Rosengren, Hjalmar ^{[1
,2
]}

机构：

[1] Chalmers Univ Technol, Dept Math Sci, SE-41296 Gothenburg, Sweden

[2] Univ Gothenburg, SE-41296 Gothenburg, Sweden

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2025年 / 21卷 / 02期

基金：

瑞典研究理事会;

关键词：

Rogers-Ramanujan identities; integer partitions; PARTITIONS;

D O I：

10.1142/S1793042125500216

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give new proofs of the 12 Rogers-Ramanujan-type identities due to Rogers and Slater that are traditionally associated with the moduli 7, 14 and 28.

引用

页码：437 / 448

页数：12

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