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2013

Preprints

• Athanasios Angelakis and Peter Stevenhagen:
  Imaginary quadratic fields with isomorphic abelian Galois groups.
  ArXiv 1209.6005, 2013.
  To appear in Proceedings of Algorithmic Number Theory Symposium — ANTS X.
• Jean-François Biasse:
  An L(1/3) algorithm for ideal class group and regulator computation in certain number fields.
  HAL-INRIA 440223, 2013.
  To appear in Mathematics of Computation.
• Jean-Paul Cerri, Jérôme Chaubert and Pierre Lezowski:
  Euclidean totally definite quaternion fields over the rational field and over quadratic number fields.
  HAL 738164, 2013.
  To appear in International Journal of Number Theory.
• Henri Cohen:
  Haberland's formula and numerical computation of Petersson scalar products.
  HAL, 2013.
  To appear in Proceedings of Algorithmic Number Theory Symposium — ANTS X.
• Jean-Marc Couveignes and Reynald Lercier:
  Fast construction of irreducible polynomials over finite fields.
  HAL 456456, 2013.
  To appear in Israel Journal of Mathematics.
• Romain Cosset and Damien Robert:
  Computing (l,l)-isogenies in polynomial time on Jacobians of genus 2 curves.
  HAL-INRIA 578991, 2013.
• Andreas Enge:
  Elliptic curve cryptographic systems.
  In Gary L. Mullen and Daniel Panario (editors):
  Handbook of Finite Fields
  Discrete Mathematics and Its Applications
  Chapman and Hall/CRC, Boca Raton 2013.
• Andreas Enge and Reinhard Schertz:
  Singular values of multiple eta-quotients for ramified primes.
  HAL-INRIA 768375, 2013.
• Andreas Enge:
  Bilinear pairings on elliptic curves.
  HAL-INRIA 767404, 2013.
• Andreas Enge and François Morain:
  Generalised Weber Functions. I.
  HAL-INRIA 385608, 2013.
• Kristin Lauter and Damien Robert:
  Improved CRT Algorithm for Class Polynomials in Genus 2.
  HAL 734450, 2013.
  To appear in Proceedings of Algorithmic Number Theory Symposium — ANTS X.
• Pierre Lezowski:
  Computation of the Euclidean minimum of algebraic number fields.
  HAL 632997, 2013.
  To appear in Mathematics of Computation.
• Nicolas Mascot:
  Computing modular Galois representations.
  ArXiv 1211.1635, 2013.
• Pascal Molin:
  Intégration numérique par la méthode double-exponentielle.
  HAL 491561, 2013.
• Aurel Page:
  Computing arithmetic Kleinian groups.
  HAL 703043, 2013.
• Pieter Rozenhart, Michael Jacobson and Renate Scheidler:
  Computing quadratic function fields with high 3-rank via cubic field tabulation.
  HAL-INRIA 462008, 2013.