Ramanujan-type partial theta identities and conjugate Bailey pairs, II. Multisums

被引：5

作者：

Kim, Byungchan ^{[1
]}

Lovejoy, Jeremy ^{[2
]}

机构：

[1] Seoul Natl Univ Sci & Technol, Sch Liberal Arts, 232 Gongneung Ro, Seoul 01811, South Korea

[2] Univ Denis Diderot Paris 7, CNRS, LIAFA, Case 7014, F-75205 Paris 13, France

来源：

RAMANUJAN JOURNAL | 2018年 / 46卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Bailey pairs; Conjugate Bailey pairs; Indefinite theta functions; Unimodal sequences; Rogers-Ramanujan type identities; Residual identities; Partial theta identities; LOST NOTEBOOK; SERIES; MODULI; RANK;

D O I：

10.1007/s11139-017-9919-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the first paper of this series, we described how to find conjugate Bailey pairs from residual identities of Ramanujan-type partial theta identities. Here we carry this out for four multisum residual identities of Warnaar and two more due to the authors. Applying known Bailey pairs gives expressions in the algebra of modular forms and indefinite theta functions.

引用

页码：743 / 764

页数：22

共 49 条

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