A Parameter for Ramanujan's Function χ(q) : Its Explicit Values and Applications
Author
Source
ISRN Computational Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-14
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We define a new parameter Ik,n involving quotient of Ramanujan's function χ(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 Ik,n and find many explicit values.
Some values of Ik,n are then used to find some new and known values of Ramanujan's class invariant Gn.
American Psychological Association (APA)
Saikia, Nipen. 2012. A Parameter for Ramanujan's Function χ(q) : Its Explicit Values and Applications. ISRN Computational Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-451375
Modern Language Association (MLA)
Saikia, Nipen. A Parameter for Ramanujan's Function χ(q) : Its Explicit Values and Applications. ISRN Computational Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-451375
American Medical Association (AMA)
Saikia, Nipen. A Parameter for Ramanujan's Function χ(q) : Its Explicit Values and Applications. ISRN Computational Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-451375
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451375