THE NUMBER OF POINTS ON ELLIPTIC CURVES y2 = x3 + Ax AND y2 = x3 + B3 MOD 24

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참고문헌 (16)

1. I. F. Blake, "Elliptic Curves in Cryptography" (2000), Cambridge University Press
2. B. M. Brewer, "On certain character sums", Trans. Amer. Math. Soc, 99, pp.241~245 (1961)
3. M. Demirci, "Rational points on elliptic curves E : y2 = x3 + a3 in Fp where p  1 (mod 6) is prime", Rocky Mountain J. Math, 37(5), pp.1483~1491 (2007)
4. I. Inam, "Rational points on Frey elliptic curves y^2=x^3-n^2x", Advanced Studies in Contemporary Mathematics, 14(1), pp.69~76 (2007), 장전수학회
5. \.{I}lker \.{I}nam, "Corrigendum on ``The Number of Points on Elliptic Curves $E~:y^{2}=x^{3}+cx$ over $\mathbb{F}_{p}$ mod 8＂", 대한수학회논문집, 22(2), pp.207~208 (2007), 대한수학회
6. K. Ireland, "A Classical Introduction to Mordern Number Theory" (1981), Springer- Verlag
7. A. W. Knapp, "Elliptic Curves" (1992), Princeton Uinversity Press
8. Hwasin Park, "The number of points on elliptic curves $E: y^2 =x^3 +cx$ over $\Bbb F_p$ mod $8$", 대한수학회논문집, 18(1), pp.31~37 (2003), 대한수학회
9. 박화신, "THE NUMBER OF POINTS ON ELLIPTIC CURVES E^0_A : y^2 = x^3 + Ax OVER F_p MOD 24", 호남수학학술지, 34(1), pp.93~101 (2012), 호남수학회
10. A. R. Rajwade, "A note on the number of solutions Np of the congruence y2  x3 −Dx (mod p)", Proc. Cambfidge Philos. Soc, 67, pp.603~605 (1970)
11. R. Schoof, "Counting points on elliptic curves over finite fields", J. Th´eor. Nombres Bor- deaux, 7(1), pp.219~254 (1995)
12. J. H. Silverman, "The Arithmetic of Elliptic Curves" (1986), Springer-Verlag
13. Z. H. Sun, "Supplements to the theory of quartic residues", Acta Arith, 97(4), pp.361~377 (2001)
14. B. A. Venkov, "Elementary Number Theory" (1970), Wolters-Noordhoff
15. A. Weil, "Sur les courbes alg´ebriques et les vari´et´es qui s’en d´eduisent" (1948), Hermann
16. : y2 = x3 + a3 OVER Fp MOD 24, "호남수학학술지", 2009, 437~449, pp.호남수학회

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