一类新的m重Rogers-Ramanujan恒等式及应用

数学物理学报 ›› 2019, Vol. 39 ›› Issue (4): 851-864.

一类新的m重Rogers-Ramanujan恒等式及应用

张之正^1,^2,*(),李晓倩²()

¹ 洛阳师范学院数学科学学院河南洛阳 471934
² 河南师范大学数学与信息科学学院河南新乡 453001

收稿日期:2017-05-16 出版日期:2019-08-26 发布日期:2019-09-11
通讯作者: 张之正 E-mail:zhzhzhang-yang@163.com;791408196@qq.com
作者简介:李晓倩, E-mail:791408196@qq.com
基金资助:
国家自然科学基金(11871258)

A Class of New m-Multisum Rogers-Ramanujan Identities and Applications

Zhizheng Zhang^1,^2,*(),Xiaoqian Li²()

¹ Department of Mathmetics, Luoyang Normal University, Henan Luoyang 471934
² College of Mathematics and Information Science, Henan Normal University, Henan Xinxiang 453001

Received:2017-05-16 Online:2019-08-26 Published:2019-09-11
Contact: Zhizheng Zhang E-mail:zhzhzhang-yang@163.com;791408196@qq.com
Supported by:
the NSFC(11871258)

摘要/Abstract

摘要：

Rogers-Ramanujan恒等式是分拆理论和组合学中著名的恒等式，被广泛的证明和推广.该文应用双边Bailey引理和迭代技巧建立一类新的多重和Rogers-Ramanujan恒等式.

关键词: 双边Bailey引理, 移位Bailey对, 多重Rogers-Ramanujan恒等式

Abstract:

Rogers-Ramanujan identities are among the most famous q-series in partition theory and combinatorics, they have been proved and generalized widely. The purpose of this paper is to establish a class of new multisum Rogers-Ramanujan identities by applying the bilateral Bailey lemma and iterating technique.

Key words: Bilateral Bailey lemma, Shifted Bailey pair, Multisum Rogers-Ramanujan identities

中图分类号:

O157.1

张之正,李晓倩. 一类新的m重Rogers-Ramanujan恒等式及应用[J]. 数学物理学报, 2019, 39(4): 851-864.

Zhizheng Zhang,Xiaoqian Li. A Class of New m-Multisum Rogers-Ramanujan Identities and Applications[J]. Acta mathematica scientia,Series A, 2019, 39(4): 851-864.

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