The three missing terms in Ramanujan’s septic theta function identity

dc.contributor.author	Rebák, Örs
dc.date.accessioned	2023-06-02T10:24:41Z
dc.date.available	2023-06-02T10:24:41Z
dc.date.issued	2023-02-23
dc.description.abstract	On page 206 in his lost notebook, Ramanujan recorded the following enigmatic identity for his theta function φ(q): φ(e^{−7π√7}) = 7^{−3/4}φ(e^{−π√7}){1 + ( )^{2/7} + ( )^{2/7} + ( )^{2/7}}. We give the three missing terms. In addition, we calculate the class invariant G_{343} and further special values of φ(e^{−nπ}), for n = 7, 21, 35, and 49.	en_US
dc.identifier.citation	Rebák. The three missing terms in Ramanujan’s septic theta function identity. The Ramanujan Journal. 2023	en_US
dc.identifier.cristinID	FRIDAID 2132115
dc.identifier.doi	10.1007/s11139-022-00584-2
dc.identifier.issn	1382-4090
dc.identifier.issn	1572-9303
dc.identifier.uri	https://hdl.handle.net/10037/29328
dc.language.iso	eng	en_US
dc.publisher	Springer	en_US
dc.relation.journal	The Ramanujan Journal
dc.rights.accessRights	openAccess	en_US
dc.rights.holder	Copyright 2023 The Author(s)	en_US
dc.rights.uri	https://creativecommons.org/licenses/by/4.0	en_US
dc.rights	Attribution 4.0 International (CC BY 4.0)	en_US
dc.subject	VDP::Matematikk og naturvitenskap: 400::Matematikk: 410	en_US
dc.subject	VDP::Mathematics and natural scienses: 400::Mathematics: 410	en_US
dc.title	The three missing terms in Ramanujan’s septic theta function identity	en_US
dc.type.version	publishedVersion	en_US
dc.type	Journal article	en_US
dc.type	Tidsskriftartikkel	en_US
dc.type	Peer reviewed	en_US

Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)