Some eta-function identities deducible from Ramanujan's \(_ 1\Psi_ 1\) summation
type: Item
instance of: scholarly article
title: Some eta-function identities deducible from Ramanujan's \(_ 1\Psi_ 1\) summation
zbMATH Open document ID: 0785.11026
author: K. Appert
published in: Journal of Mathematical Analysis and Applications
publication date: 1993-09-05T00:00:00Z
review text: The authors present identities for twelve products of Dedekind's eta function. The identities are simply deduced from a formula of \textit{S. Ramanujan} [p. 196, entry 17 in the ``Notebooks'', Vol. II (Bombay, 1957; Zbl 0138.242)]. Each of these eta products is an entire modular form, but not a cusp form, of weight 2 on some congruence group of level 24. The identities might be rewritten as Eisenstein series expansion.
reviewed by: Günter Köhler
Mathematics Subject Classification ID: 11F20
zbMATH DE Number: 399084
zbMATH Keywords: identities
zbMATH Keywords: products of Dedekind's eta function
zbMATH Keywords: entire modular form
MaRDI profile type: Publication
full work available at URL: jmaa.1993.1231
OpenAlex ID: W2042308742
DOI: 10.1006/JMAA.1993.1231
description: scientific article; zbMATH DE number 399084