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Mathematics of Computation
Volumn 48, Issue 177, 1987, Pages 351-370
Computation of the nron tate height on elliptic curves
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EID: 84968491598     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1987-0866121-6     Document Type: Article
Times cited : (7)
References (16)
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    • Bremner, A.1    Cassels, J.W.2
  • 2
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    • On the conjecture of Birch and Swinnerton-Dyer for an ellliptic curve of rank 3
    • J. P. Buhler, B. H. Gross, D. B Zagier, "On the conjecture of Birch and Swinnerton-Dyer for an ellliptic curve of rank 3," Math. Comp., v. 44, 1985, pp. 473-481.
    • (1985) Math. Comp , vol.44 , pp. 473-481
    • Buhler, J.P.1    Gross, B.H.2    Zagier, D.B.3
  • 3
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    • Diophantine equations with special reference to elliptic curves
    • W. S. Cassels, "Diophantine equations with special reference to elliptic curves," J. London Math. Soc, v. 41, 1966, pp. 193-291.
    • (1966) J. London Math. Soc , vol.41 , pp. 193-291
    • Cassels, W.S.1
  • 4
    • 84968479883 scopus 로고
    • Thesis, Saarbrcken
    • H. G. FOLZ. Ein Beschrnktheitssatz fur die Torsion von 2-defizienten elliptischen Kurven ber algebraischen Zahlkrpern, Ph.D. Thesis, Saarbrcken, 1985.
    • (1985)
    • Folz, H.G.1
  • 6
    • 0011450133 scopus 로고
    • Conjectured Diophantine estimates on elliptic curves
    • S. Lang, "Conjectured Diophantine estimates on elliptic curves," Progr. Math., v. 35, 1983, pp. 155-171.
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    • Lang, S.1
  • 8
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    • The Diophantine equation ax2 + by3 + cz3
    • E. Selmer, "The Diophantine equation ax2 + by3 + cz3," Acta Math., v. 85, 1951, pp. 203-362.
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  • 9
    • 84972576063 scopus 로고
    • Lower bound for the canonical height on elliptic curves
    • J. H. Silverman, "Lower bound for the canonical height on elliptic curves," Duke Math. J., v. 48, 1981, pp. 633-648.
    • (1981) Duke Math. J , vol.48 , pp. 633-648
    • Silverman, J.H.1
  • 10
    • 0000835921 scopus 로고
    • The arithmetic of elliptic curves
    • J. T. Tte, "The arithmetic of elliptic curves," Invent. Math., v. 23, 1974, pp. 179-206.
    • (1974) Invent. Math , vol.23 , pp. 179-206
    • Tte, J.T.1
  • 11
    • 0002849852 scopus 로고
    • Algorithm for finding the type of a singular fibre in an elliptic pencil
    • Lecture Notes in Math., vol. 476, Springer-Verlag, Berlin and New York
    • J. T. Tte, "Algorithm for finding the type of a singular fibre in an elliptic pencil," in Modular Functions of One Variable IV, Lecture Notes in Math., vol. 476, Springer-Verlag, Berlin and New York, 1975, pp. 33-52.
    • (1975) Modular Functions of One Variable IV , pp. 33-52
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  • 13
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    • On the difference of the Weil height and the Nron-Tate height
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  • 14
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    • Quasifunctions on elliptic curves over local fields
    • H. G. Zimmer, "Quasifunctions on elliptic curves over local fields," J. Reine Angew. Math., v. 307, 1979, pp. 221-246.
    • (1979) J. Reine Angew. Math , vol.307 , pp. 221-246
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  • 15
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    • Torsion points on elliptic curves over a global field
    • H. G. Zimmer, "Torsion points on elliptic curves over a global field," Manuscripta Math., v. 29, 1979, pp. 119-145.
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  • 16
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    • Kuyk, eds
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    • (1975) Lecture Notes in Math., Vol , vol.476

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.