Open AccessParametric evaluations of Ramanujan’s singular moduli
Author(s) -
Nipen Saikia
Publication year - 2012
Publication title -
arab journal of mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.353
H-Index - 11
eISSN - 2588-9214
pISSN - 1319-5166
DOI - 10.1016/j.ajmsc.2012.09.001
Subject(s) - ramanujan's sum , mathematics , moduli , pure mathematics , ramanujan theta function , modular equation , parametric statistics , mathematical analysis , moduli space , moduli of algebraic curves , statistics , physics , quantum mechanics
At scattered places of his notebooks, Ramanujan recorded over 30 values of singular moduli. In this paper, we offer some general formulas for the explicit evaluations of Ramanujan’s singular moduli by parameterizations of Ramanujan’s theta-functions and give examples
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