On Equations $y^2=x^n+k$ in a Finite Field
Volume 52 / 2004
Bulletin Polish Acad. Sci. Math. 52 (2004), 223-226
MSC: 11G20, 11A15, 11D25.
DOI: 10.4064/ba52-3-1
Abstract
Solutions of the equations $y^2=x^n+k$ ($n=3,4$) in a finite field are given almost explicitly in terms of $k$.