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Volumn 74, Issue 251, 2005, Pages 1531-1543

Solving quadratic equations using reduced unimodular quadratic forms

Author keywords

Algorithm; Quadratic equation

Indexed keywords


EID: 21644465167     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-05-01729-1     Document Type: Article
Times cited : (43)

References (10)
  • 1
    • 0009904343 scopus 로고
    • Rational quadratic forms
    • London, New York, San Francisco: Academic Press. MR0522835 (80m: 10019)
    • J.W.S. Cassels: Rational Quadratic Forms, L.M.S. Monographs, No.13. London, New York, San Francisco: Academic Press (1978). MR0522835 (80m: 10019)
    • (1978) L.M.S. Monographs , Issue.13
    • Cassels, J.W.S.1
  • 2
    • 0037738800 scopus 로고    scopus 로고
    • Small solutions of the Legendre equation
    • MR1619944 (99a:11029)
    • T. Cochrane and P. Mitchell: Small solutions of the Legendre equation, Journal of Number Theory 70 (1998), 62-66. MR1619944 (99a:11029)
    • (1998) Journal of Number Theory , vol.70 , pp. 62-66
    • Cochrane, T.1    Mitchell, P.2
  • 3
    • 0003226285 scopus 로고    scopus 로고
    • A course in computational algebraic number theory
    • Third corrected printing, Springer-Verlag. MR1228206 (941:11105)
    • H. Cohen: A Course in Computational Algebraic Number Theory, Graduate Texts in Math. 138, Third corrected printing, Springer-Verlag (1996). MR1228206 (941:11105)
    • (1996) Graduate Texts in Math. , vol.138
    • Cohen, H.1
  • 4
    • 0037791909 scopus 로고    scopus 로고
    • Efficient solution of rational conies
    • MR1972744 (2004a:11137)
    • J.E. Cremona, D. Rusin: Efficient solution of rational conies, Math. Comp. 72 (2003), 1417-1441. MR1972744 (2004a:11137)
    • (2003) Math. Comp. , vol.72 , pp. 1417-1441
    • Cremona, J.E.1    Rusin, D.2
  • 6
    • 21644472365 scopus 로고
    • Cours d'arithmétique
    • MR0498338 (58:16473)
    • J.-P. Serre: Cours d'arithmétique, P.U.F. 3d edition (1988). MR0498338 (58:16473)
    • (1988) P.U.F. 3d Edition
    • Serre, J.-P.1
  • 7
    • 0036018027 scopus 로고    scopus 로고
    • Solving norm equations in relative number fields using S-units
    • MR1898758 (2003d:11044)
    • D. Simon: Solving norm equations in relative number fields using S-units, Math. Comp., vol. 71 No. 239 (2002), 1287-1305. MR1898758 (2003d:11044)
    • (2002) Math. Comp. , vol.71 , Issue.239 , pp. 1287-1305
    • Simon, D.1
  • 8
    • 1342278917 scopus 로고    scopus 로고
    • Computing the rank of elliptic curves over number fields
    • MR1916919 (2003g:11060)
    • D. Simon: Computing the rank of elliptic curves over number fields, London Math. Soc. Journal of Computation and Mathematics, vol. 5 (2002), 7-17. MR1916919 (2003g:11060)
    • (2002) London Math. Soc. Journal of Computation and Mathematics , vol.5 , pp. 7-17
    • Simon, D.1
  • 9
    • 0040449352 scopus 로고    scopus 로고
    • The algorithmic resolution of Diophantine equations
    • Cambridge University Press. MR1689189 (2000c:11208)
    • N.P. Smart: The algorithmic resolution of Diophantine equations, London Math. Soc. Student Texts 41, Cambridge University Press, 1998. MR1689189 (2000c:11208)
    • (1998) London Math. Soc. Student Texts , vol.41
    • Smart, N.P.1
  • 10
    • 85033716041 scopus 로고
    • An affine point of view on minima finding in integer lattices of lower dimensions
    • Proc. of EUROCAL '87 (Leipzig, 1987), Springer, Berlin. MR1033317 (92d:11069)
    • B. Vallée: An affine point of view on minima finding in integer lattices of lower dimensions, Proc. of EUROCAL '87 (Leipzig, 1987), Lecture Notes in Comput. Sci. 378, Springer, Berlin, 1989, 376-378. MR1033317 (92d:11069)
    • (1989) Lecture Notes in Comput. Sci. , vol.378 , pp. 376-378
    • Vallée, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.