A new proof of Ramanujan's modular equation relating \(R(q)\) with \(R(q^{5})\)
type: Item
instance of: scholarly article
title: A new proof of Ramanujan's modular equation relating \(R(q)\) with \(R(q^{5})\)
zbMATH Open document ID: 1257.11093
author: Chadwick Gugg
published in: The Ramanujan Journal
publication date: 2010-01-06T00:00:00Z
Mathematics Subject Classification ID: 11P84
Mathematics Subject Classification ID: 11A55
Mathematics Subject Classification ID: 11J70
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 33D90
zbMATH DE Number: 5653962
MaRDI profile type: Publication
full work available at URL: s11139-009-9180-2
OpenAlex ID: W2067285741
cites work: Ramanujan's ``lost'' notebook. III: The Rogers-Ramanujan continued fraction
cites work: Q3023367
cites work: MacMahon's partition analysis XI: Broken diamonds and modular forms
cites work: The continued fractions found in the unorganized portions of Ramanujan’s notebooks
cites work: Q4000402
cites work: Q4374999
cites work: The Rogers-Ramanujan continued fraction
cites work: Some Theorems on the Rogers–Ramanujan Continued Fraction in Ramanujan’s Lost Notebook
cites work: On the divergence of the Rogers-Ramanujan continued fraction on the unit circle
cites work: Two modular equations for squares of the Rogers-Ramanujan functions with applications
cites work: Modular equations for cubes of the Rogers-Ramanujan and Ramanujan-Göllnitz-Gordon functions and their associated continued fractions
cites work: On the expansion of Ramanujan's continued fraction
cites work: Q4502706
cites work: Q3898561
cites work: On recent congruence results of Andrews and Paule for broken k-diamonds
cites work: Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan's Lost Notebook
cites work: Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions
cites work: On Ramanujan's continued fraction
cites work: On the Rogers-Ramanujan continued fraction
cites work: Ramanujan's continued fraction
cites work: Q4731263
cites work: Q5513003
cites work: Q3847099
cites work: Q4040264
cites work: Q4180450
cites work: Modular equations for the Rogers-Ramanujan continued fraction and the Dedekind eta-function
DOI: 10.1007/S11139-009-9180-2
description: scientific article; zbMATH DE number 5653962