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Bibliography

Major publications by the team in recent years
  • 1E. Bayer-Fluckiger, J.-P. Cerri, J. Chaubert.

    Euclidean minima and central division algebras, in: International Journal of Number Theory, 2009, vol. 5, no 7, pp. 1155–1168.

    http://www.worldscinet.com/ijnt/05/0507/S1793042109002614.html
  • 2K. Belabas, M. Bhargava, C. Pomerance.

    Error estimates for the Davenport-Heilbronn theorems, in: Duke Mathematical Journal, 2010, vol. 153, no 1, pp. 173–210.

    http://projecteuclid.org/euclid.dmj/1272480934
  • 3J. Belding, R. Bröker, A. Enge, K. Lauter.

    Computing Hilbert class polynomials, in: Algorithmic Number Theory — ANTS-VIII, Berlin, A. van der Poorten, A. Stein (editors), Lecture Notes in Computer Science, Springer-Verlag, 2007, vol. 5011.

    http://hal.inria.fr/inria-00246115
  • 4J.-P. Cerri.

    Euclidean minima of totally real number fields: algorithmic determination, in: Math. Comp., 2007, vol. 76, no 259, pp. 1547–1575.

    http://www.ams.org/journals/mcom/2007-76-259/S0025-5718-07-01932-1/
  • 5H. Cohen.

    Number Theory I: Tools and Diophantine Equations; II: Analytic and Modern Tool, Graduate Texts in Mathematics, Springer-Verlag, New York, 2007, vol. 239/240.
  • 6H. Cohen, G. Frey, R. Avanzi, C. Doche, T. Lange, K. Nguyen, F. Vercauteren.

    Handbook of Elliptic and Hyperelliptic Curve Cryptography, Discrete mathematics and its applications, Chapman & Hall, Boca Raton, 2006.
  • 7J.-M. Couveignes, B. Edixhoven.

    Computational aspects of modular forms and Galois representations, Princeton University Press, 2011.
  • 8A. Enge.

    The complexity of class polynomial computation via floating point approximations, in: Mathematics of Computation, 2009, vol. 78, no 266, pp. 1089–1107.

    http://www.ams.org/mcom/2009-78-266/S0025-5718-08-02200-X/home.html
  • 9A. Enge, P. Gaudry, E. Thomé.

    An L(1/3) Discrete Logarithm Algorithm for Low Degree Curves, in: Journal of Cryptology, 2011, vol. 24, no 1, pp. 24–41.
  • 10D. Lubicz, D. Robert.

    Computing isogenies between abelian varieties, in: Compositio Mathematica, 09 2012, vol. 148, no 05, pp. 1483–1515.

    http://dx.doi.org/10.1112/S0010437X12000243
Publications of the year

Doctoral Dissertations and Habilitation Theses

Articles in International Peer-Reviewed Journals

  • 12K. Belabas, J.-F. Jaulent.

    The logarithmic class group package in PARI/GP, in: Publications Mathématiques de Besançon : Algèbre et Théorie des Nombres, 2017.

    https://hal.archives-ouvertes.fr/hal-01419870
  • 13J. Brau, N. Jones.

    Elliptic curves with 2-torsion contained in the 3-torsion field, in: Proceedings of the American Mathematical Society, 2016, vol. 144, pp. 925-936.

    https://hal.archives-ouvertes.fr/hal-01111744
  • 14M. Galand, K. Héritier, E. Odelstad, P. Henri, T. Broiles, A. Allen, K. Altwegg, A. Beth, J. Burch, M. Carr, E. Cupido, I. Eriksson, H. Glassmeier, F. Johansson, P. Lebreton, E. Mandt, H. Nilsson, I. Richter, M. Rubin, L. Sagnières, S. Schwartz, T. Sémon, C.-Y. Tzou, X. Vallières, E. Vigren, P. Wurz.

    Ionospheric plasma of comet 67P probed by Rosetta at 3 AU from the Sun, in: Monthly Notices of the Royal Astronomical Society, 2016, vol. 464, no 1. [ DOI : 10.1093/mnras/stw2891 ]

    https://hal-insu.archives-ouvertes.fr/insu-01404142
  • 15D. Lubicz, D. Robert.

    Arithmetic on Abelian and Kummer Varieties, in: Finite Fields and Applications, May 2016, vol. 39, pp. 130-158. [ DOI : 10.1016/j.ffa.2016.01.009 ]

    https://hal.archives-ouvertes.fr/hal-01057467

Internal Reports

Scientific Popularization

Other Publications

References in notes
  • 28K. Belabas.

    L'algorithmique de la théorie algébrique des nombres, in: Théorie algorithmique des nombres et équations diophantiennes, N. Berline, A. Plagne, C. Sabbah (editors), 2005, pp. 85–155.
  • 29H. Cohen, P. Stevenhagen.

    Computational class field theory, in: Algorithmic Number Theory — Lattices, Number Fields, Curves and Cryptography, J. Buhler, P. Stevenhagen (editors), MSRI Publications, Cambridge University Press, 2008, vol. 44.
  • 30A. Enge.

    Courbes algébriques et cryptologie, Université Denis Diderot, Paris 7, 2007, Habilitation à diriger des recherches.

    http://tel.archives-ouvertes.fr/tel-00382535/en/


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