메뉴 건너뛰기




Volumn 75, Issue 2, 1996, Pages 165-190

Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030459498     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-75-2-165-190     Document Type: Article
Times cited : (53)

References (23)
  • 2
    • 0001033035 scopus 로고
    • Addendum to a paper of Harada and Lang
    • I. Connell, Addendum to a paper of Harada and Lang, J. Algebra 145 (1992), 463-467.
    • (1992) J. Algebra , vol.145 , pp. 463-467
    • Connell, I.1
  • 3
    • 0011351634 scopus 로고
    • The arithmetic-geometric mean of Gauss
    • D. A. Cox, The arithmetic-geometric mean of Gauss, Enseign. Math. 30 (1984), 275-330.
    • (1984) Enseign. Math. , vol.30 , pp. 275-330
    • Cox, D.A.1
  • 6
    • 0000731312 scopus 로고
    • Computing integral points on elliptic curves
    • J. Gebel, A. Petho and H. G. Zimmer, Computing integral points on elliptic curves, Acta Arith. 68 (1994), 171-192.
    • (1994) Acta Arith. , vol.68 , pp. 171-192
    • Gebel, J.1    Petho, W.2    Zimmer, H.G.3
  • 8
    • 0001374021 scopus 로고
    • Formes linéaires de logarithmes de points algébriques sur les groupes algébriques
    • N. Hirata-Kohno, Formes linéaires de logarithmes de points algébriques sur les groupes algébriques, Invent. Math. 104 (1991), 401-433.
    • (1991) Invent. Math. , vol.104 , pp. 401-433
    • Hirata-Kohno, N.1
  • 9
    • 34250244723 scopus 로고
    • Factoring polynomials with rational coefficients
    • A. K. Lenstra, H. W. Lenstra and L. Lovász, Factoring polynomials with rational coefficients, Math. Ann. 261 (1982), 515-534.
    • (1982) Math. Ann. , vol.261 , pp. 515-534
    • Lenstra, A.K.1    Lenstra, H.W.2    Lovász, L.3
  • 13
    • 0011324736 scopus 로고
    • Proof of a theorem of de Jonquières
    • in Norwegian
    • _, Proof of a theorem of de Jonquières, Norsk Mat. Tidsskrift 26 (1944), 3-8 (in Norwegian).
    • (1944) Norsk Mat. Tidsskrift , vol.26 , pp. 3-8
  • 14
    • 84968504366 scopus 로고
    • Computing heights on elliptic curves
    • J. H. Silverman, Computing heights on elliptic curves, Math. Comp. 51 (1988), 339-358.
    • (1988) Math. Comp. , vol.51 , pp. 339-358
    • Silverman, J.H.1
  • 15
    • 84966210652 scopus 로고
    • The difference between the weil height and the canonical height on elliptic curves
    • J. H. Silverman, The difference between the Weil height and the canonical height on elliptic curves, ibid. 55 (1990), 723-743.
    • (1990) Math. Comp. , vol.55 , pp. 723-743
    • Silverman, J.H.1
  • 17
    • 0001410744 scopus 로고
    • On the sum of consecutive cubes being a perfect square
    • R. J. Stroeker, On the sum of consecutive cubes being a perfect square, Compositio Math. 97 (1995), 295-307.
    • (1995) Compositio Math. , vol.97 , pp. 295-307
    • Stroeker, R.J.1
  • 18
    • 0000873385 scopus 로고
    • Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms
    • R. J. Stroeker and N. Tzanakis, Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms, Acta Arith. 67 (1994), 177-196.
    • (1994) Acta Arith. , vol.67 , pp. 177-196
    • Stroeker, R.J.1    Tzanakis, N.2
  • 20
    • 38249000209 scopus 로고
    • Fermat's "primitive solutions" and some arithmetic of elliptic curves
    • J. Top, Fermat's "primitive solutions" and some arithmetic of elliptic curves, Indag. Math. 4 (1993), 211-222.
    • (1993) Indag. Math. , vol.4 , pp. 211-222
    • Top, J.1
  • 22
    • 0003270635 scopus 로고
    • Algorithms for diophantine equations
    • Centre for Mathematics and Computer Science, Amsterdam
    • B. M. M. de Weger, Algorithms for diophantine equations, CWI Tract 65, Centre for Mathematics and Computer Science, Amsterdam, 1989.
    • (1989) CWI Tract , vol.65
    • De Weger, B.M.M.1
  • 23
    • 84968492764 scopus 로고
    • Large integral points on elliptic curves
    • D. Zagier, Large integral points on elliptic curves, Math. Comp. 48 (1987), 425-436.
    • (1987) Math. Comp. , vol.48 , pp. 425-436
    • Zagier, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.