On the elliptic curves modulo p
We first prove Sun's three conjectures [Z.H. Sun, On the number of incongruent residues of x(4) + ax(2) + 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 F-p, which are related to the congruence cubic and quartic residue. And we provide some examples and comments concerning these conjectures. (c) 2007 Elsevier Inc. All rights reserved.
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Issue Date
- 2008-04
- Language
- English
- Article Type
- Article
- Keywords
RESIDUES
- Citation
JOURNAL OF NUMBER THEORY, v.128, no.4, pp.945 - 953
- ISSN
- 0022-314X
- Appears in Collection
- MA-Journal Papers(저널논문)
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