Addition formulas for Jacobi's theta functions, Dedekind's eta function, and Ramanujan's congruences
type: Item
instance of: scholarly article
title: Addition formulas for Jacobi's theta functions, Dedekind's eta function, and Ramanujan's congruences
zbMATH Open document ID: 1169.33005
author: Zhi-Guo Liu
published in: Pacific Journal of Mathematics
publication date: 2009-04-08T00:00:00Z
review text: The author proves some new theta function identities, as well as series expansions for particular powers of Dedekind's eta function. As corollaries, known Ramanujan-type congruences for the partition function are derived.
reviewed by: József Sándor
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11F20
Mathematics Subject Classification ID: 11F27
zbMATH DE Number: 5541989
zbMATH Keywords: elliptic function
zbMATH Keywords: theta function
zbMATH Keywords: Dedekind's eta function
zbMATH Keywords: Ramanujan's congruence
MaRDI profile type: Publication
full work available at URL: pjm.2009.240.135
OpenAlex ID: W1981478955
DOI: 10.2140/PJM.2009.240.135
description: scientific article; zbMATH DE number 5541989