Article ID Journal Published Year Pages File Type
4595009 Journal of Number Theory 2008 9 Pages PDF
Abstract

We first prove Sun's three conjectures [Z.H. Sun, On the number of incongruent residues of x4+ax2+bx modulo p, J. Number Theory 119 (2006) 210–241; Z.H. Sun, http://sfb.hytc.edu.cn/xsjl/szh/, 2000, June] on the number of rational points of some elliptic curves over finite fields Fp, which are related to the congruence cubic and quartic residue. And we provide some examples and comments concerning these conjectures.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory