Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.aim.2007.06.004
Title: Sixth order mock theta functions
Authors: Berndt, B.C.
Chan, S.H. 
Keywords: Bailey pairs
Constant term method
Mock theta functions
q-series
Ramanujan's lost notebook
Theta functions
Issue Date: 20-Dec-2007
Citation: Berndt, B.C., Chan, S.H. (2007-12-20). Sixth order mock theta functions. Advances in Mathematics 216 (2) : 771-786. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aim.2007.06.004
Abstract: Two new mock theta functions of the sixth order are defined. The main theorem in this paper (Theorem 1.1) provides four transformation formulas relating the new mock theta functions with Ramanujan's mock theta functions of the sixth order. Two further representations of the new mock theta functions are established. Lastly, a hitherto unproved entry from Ramanujan's lost notebook related to sixth order mock theta functions is proved. © 2007 Elsevier Inc. All rights reserved.
Source Title: Advances in Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/104130
ISSN: 00018708
DOI: 10.1016/j.aim.2007.06.004
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

23
checked on Jun 24, 2022

WEB OF SCIENCETM
Citations

19
checked on Jun 24, 2022

Page view(s)

114
checked on Jun 23, 2022

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.