New Proofs of Ramanujan's Identities on False Theta Functions
Combinatorics
2018-01-25 v1 Classical Analysis and ODEs
Number Theory
Abstract
We provide new proofs to five of Ramanujan's intriguing identities on false theta functions without using the Rogers-Fine identity and Bailey transforms.
Keywords
Cite
@article{arxiv.1801.07956,
title = {New Proofs of Ramanujan's Identities on False Theta Functions},
author = {Liuquan Wang},
journal= {arXiv preprint arXiv:1801.07956},
year = {2018}
}
Comments
This paper was written in July 2016 and included in my PhD thesis. Now I upload it to arxiv for the hope that it is accessible to more readers. Comments are welcome