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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

Articles in International Peer-Reviewed Journals

Articles in Non Peer-Reviewed Journals

  • 15A. Meurer, C. Smith, M. Paprocki, O. Čertík, S. Kirpichev, M. Rocklin, A. Kumar, S. Ivanov, J. Moore, S. Singh, T. Rathnayake, S. Vig, B. Granger, R. Muller, F. Bonazzi, H. Gupta, S. Vats, F. Johansson, F. Pedregosa, M. Curry, A. Terrel, Š. Roučka, A. Saboo, I. Fernando, S. Kulal, R. Cimrman, A. Scopatz.

    SymPy: symbolic computing in Python, in: PeerJ Comput.Sci., 2017, vol. 3, e103 p. [ DOI : 10.7717/peerj-cs.103 ]

    https://hal.archives-ouvertes.fr/hal-01645958

International Conferences with Proceedings

  • 16G. Castagnos, L. Imbert, F. Laguillaumie.

    Encryption Switching Protocols Revisited: Switching Modulo p, in: CRYPTO 2017 - 37th International Cryptology Conference, Santa Barbara, United States, Advances in Cryptology – CRYPTO 2017, August 2017, vol. 10401, pp. 255-287. [ DOI : 10.1007/978-3-319-63688-7_9 ]

    https://hal-lirmm.ccsd.cnrs.fr/lirmm-01587451
  • 17C. Fieker, W. Hart, T. Hofmann, F. Johansson.

    Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language, in: ISSAC '17, Kaiserslautern, Germany, July 2017. [ DOI : 10.1145/3087604.3087611 ]

    https://hal.inria.fr/hal-01524140

Scientific Books (or Scientific Book chapters)

  • 18H. Cohen, F. Strömberg.

    Modular Forms: A Classical Approach, Graduate Studies in Mathematics, American Mathematical Society, 2017, vol. 179, 700 p.

    https://hal.inria.fr/hal-01677348

Other Publications

References in notes
  • 24K. 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.
  • 25H. 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.
  • 26A. Enge.

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

    http://tel.archives-ouvertes.fr/tel-00382535/en/
  • 27S. Ionica, D. Robert.

    Pairings, MIS, 2016, CRC Press, to appear.

    https://hal.archives-ouvertes.fr/hal-01323882


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