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Computations on curves

  • Algebraic Number Computation
  • Conference paper
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EUROSAM 84 (EUROSAM 1984)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 174))

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Abstract

We are implementing this algorithm on REDUCE. As we wrote above, when K is

we may represent any finite family of elements of K as elements of

for some α in K, cf[Ze] ; but we are exploring a more appropriate representation.

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Bibliography

  1. A. BAKER, J. COATES. Integer points on curves of genus 1. Proc. Camb. Phil. Soc. 67 (1970), pp. 595–602.

    Google Scholar 

  2. J. COATES. Construction of rational functions on a curve. Proc. Camb. Phil. Soc. 68 (1970), pp. 105–123.

    Google Scholar 

  3. J. H. DAVENPORT. Calculs dans les corps. Exposé au Colloque de l'Institut Fourier (1983).

    Google Scholar 

  4. J. H. DAVENPORT. On the integration of algebråic functions. Lect. Notes in Computer Sc. 102 (1979).

    Google Scholar 

  5. D. DUVAL. Une méthode géométrique de factorisation des polynômes en deux indéterminées, to appear in Calsyf 3 (1984 ?).

    Google Scholar 

  6. W. FULTON. Algebraic curves. Benjamin (1969).

    Google Scholar 

  7. J. HEINTZ, M. SIEVEKING. Absolute primality of polynomials is decidable in random polynomial time in the number of variables. Lect. Notes in Computer Sc. 115 (1981), pp. 16–28.

    Google Scholar 

  8. A. K. LENSTRA. Lattices and factorization of polynomials over algebraic number fields. Computer Algebra Eurocam '82, Lect. Notes in Computer Sc. 144 (1982), pp. 32–39.

    Google Scholar 

  9. J. D. LIPSON. Elements of algebra and algebraic computing. Addison-Wesley (1981).

    Google Scholar 

  10. E. TAHIRI EL ALAOUI. Solutions formelles d'équation algébrique de deux variables. IMAG R.R. 416 (1983).

    Google Scholar 

  11. R. WALKER. Algebraic curves. Springer-Verlag (1978).

    Google Scholar 

  12. D.Y.Y. YUN. Fast algorithm for rational function integration. Proc. IFIP 77 (ed. B. Gilchrist) North-Holland (1977), pp. 493–498.

    Google Scholar 

  13. H. ZEJLI. Calcul dans les extensions de corps. IMAG, Séminaire 397 (1983).

    Google Scholar 

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Author information

Authors and Affiliations

  1. IMAG, BP 68, F 38402, St Martin d'Hères Cedex

    Claire Dicrescenzo

  2. Institut Fourier, BP 74, F 38402, St Martin d'Hères Cedex

    Dominique Duval

Authors
  1. Claire Dicrescenzo
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  2. Dominique Duval
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Editor information

John Fitch

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© 1984 Springer-Verlag Berlin Heidelberg

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Dicrescenzo, C., Duval, D. (1984). Computations on curves. In: Fitch, J. (eds) EUROSAM 84. EUROSAM 1984. Lecture Notes in Computer Science, vol 174. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0032834

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  • DOI: https://doi.org/10.1007/BFb0032834

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13350-6

  • Online ISBN: 978-3-540-38893-7

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