A Parameter for Ramanujan's Function χ(q): Its Explicit Values and Applications. (14th August 2012)

• Record Type: Journal Article
• Authors: Saikia, Nipen
• Other Names: Hajdu L. Academic Editor.; Heath L. S. Academic Editor.; Ruskin H. J. Academic Editor.
• Is Part Of: ISRN computational mathematics. Volume 2012(2012)
• Publication Date: 2012-08-14
• Subjects: Numerical analysis -- Periodicals; Mathematics -- Data processing -- Periodicals; Mathematics -- Data processing; Numerical analysis; Electronic journals; Periodicals; 510
• DOI: 10.5402/2012/169050
• Languages: English
• ISSNs: 2090-7842

Abstract

Abstract : We define a new parameter I k, 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 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 .