A parameter for Ramanujan's function \(\chi(q)\): its explicit values and applications
type: Item
instance of: scholarly article
title: A parameter for Ramanujan's function \(\chi(q)\): its explicit values and applications
zbMATH Open document ID: 1345.11028
DOI: 10.5402/2012/169050
author: Nipen Saikia
published in: ISRN Computational Mathematics
publication date: 2012-12-10T00:00:00Z
review text: Summary: We define a new parameter \(I_{k,n}\) involving quotient of Ramanujan's function \(\chi(q)\) for positive real numbers \(k\) and \(n\) and study its several properties. We prove some general theorems for the explicit evaluations of the parameter \(I_{k,n}\) and find many explicit values. Some values of \(I_{k,n}\) are then used to find some new and known values of Ramanujan's class invariant \(G_n\).
Mathematics Subject Classification ID: 11F20
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 33E05
zbMATH DE Number: 6114694
zbMATH Keywords: Ramanujan's class invariant
zbMATH Keywords: Dedekind eta function
zbMATH Keywords: Gaussian hypergeometric function
Wikidata QID: Q58689948
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/169050
OpenAlex ID: W2055064103
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description: scientific article; zbMATH DE number 6114694