New proofs of Ramanujan’s identities on false theta functions

被引：0

作者：

Liuquan Wang

机构：

[1] Wuhan University,School of Mathematics and Statistics

来源：

The Ramanujan Journal | 2019年 / 50卷

关键词：

False theta functions; Theta functions; Summation formulas; 33D15; 11P83;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We provide new proofs to five of Ramanujan’s intriguing identities on false theta functions without using the Rogers-Fine identity and Bailey transforms.

引用

页码：423 / 431

页数：8

共 50 条

[1] New proofs of Ramanujan's identities on false theta functions
Wang, Liuquan
RAMANUJAN JOURNAL, 2019, 50 (02): : 423 - 431
[2] Combinatorial Proofs of Identities in Ramanujan’s Lost Notebook Associated with the Rogers-Fine Identity and False Theta Functions
Bruce C. Berndt
Ae Ja Yee
Annals of Combinatorics, 2003, 7 (4) : 409 - 423
[3] Ramanujan's lost notebook: Combinatorial proofs of identities associated with Heine's transformation or partial theta functions
Berndt, Bruce C.
Kim, Byungchan
Yee, Ae Ja
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2010, 117 (07) : 957 - 973
[4] New proofs of two identities of Ramanujan
Morton, Patrick
arXiv, 2023,
[5] Elementary proofs of some identities of Ramanujan for the Rogers-Ramanujan functions
Yesilyurt, Hamza
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 388 (01) : 420 - 434
[6] False theta functions and companions to Capparelli's identities
Bringmann, Kathrin
Mahlburg, Karl
ADVANCES IN MATHEMATICS, 2015, 278 : 121 - 136
[7] ELEMENTARY PROOFS OF TWO THETA FUNCTION IDENTITIES OF RAMANUJAN AND CORRESPONDING LAMBERT SERIES IDENTITIES
Wang, Andrew Yezhou
COLLOQUIUM MATHEMATICUM, 2018, 152 (01) : 15 - 22
[8] Identities for Ramanujan's sixth-order mock theta functions
Choi, YS
QUARTERLY JOURNAL OF MATHEMATICS, 2002, 53 : 147 - 159
[9] NEW PROOFS OF THE SEPTIC ROGERS–RAMANUJAN IDENTITIES
Rosengren, Hjalmar
arXiv, 2023,
[10] New proofs for three identities of seventh order mock theta functions
Hao, Lijun
AIMS MATHEMATICS, 2023, 8 (02): : 4806 - 4813

← 1 2 3 4 5 →