Stéphane R. Louboutin

Articles in Scholarly Journals [Incomplete List]

  1. Efficient computation of root numbers and class numbers of parametrized families of real abelian number fields
    Mathematics of Computation, vol. 76, no. 257, pp. 455–474, 2007
  2. Proceedings of the American Mathematical Society, vol. 135, no. 04, pp. 969–976, 2007
  3. The class-number one problem for some real cubic number fields with negative discriminants
    Journal of Number Theory, vol. 121, no. 1, pp. 30–39, 2006
  4. THE BRAUER–SIEGEL THEOREM
    Journal of the London Mathematical Society, vol. 72, no. 1, pp. 40–52, 2005
  5. Explicit upper bounds for  L(1, ) for primitive characters  
    The Quarterly Journal of Mathematics, vol. 55, no. 1, pp. 57–68, 2004
  6. Explicit upper bounds for values at s=1 of Dirichlet L-series associated with primitive even characters
    Journal of Number Theory, vol. 104, no. 1, pp. 118–131, 2004
  7. Transactions of the American Mathematical Society, vol. 355, no. 08, pp. 3079–3099, 2003
  8. Exponents of the ideal class groups of CM number fields
    Mathematische Zeitschrift, vol. 243, no. 1, pp. 155–159, 2003
  9. Mathematics of Computation, vol. 71, no. 240, pp. 1735–1744, 2002
  10. Proceedings of the American Mathematical Society, vol. 130, no. 02, pp. 353–362, 2002
  11. Majorations explicites de |L(1,χ)| (quatrième partie)Explicit upper bounds on |L(1,χ)| (part four)
    Comptes Rendus Mathematique, vol. 334, no. 8, pp. 625–628, 2002
  12. Class number and class group problems for some non-normal totally real cubic number fields
    manuscripta mathematica, vol. 106, no. 4, pp. 411–427, 2001
  13. Majorations explicites de |L(1,χ)| (troisième partie)
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 332, no. 2, pp. 95–98, 2001
  14. Explicit Bounds for Residues of Dedekind Zeta Functions, Values of L-Functions at s=1, and Relative Class Numbers
    Journal of Number Theory, vol. 85, no. 2, pp. 263–282, 2000
  15. Hasse Unit Indices of Dihedral Octic CM–Fields
    Mathematische Nachrichten, vol. 215, no. 1, pp. 107–113, 2000
  16. Hasse Unit Indices of Dihedral Octic CM-Fields
    Mathematische Nachrichten, vol. 215, no. 1, pp. 107–113, 2000
  17. Mathematics of Computation of the American Mathematical Society, vol. 69, no. 229, pp. 371–394, 2000
  18. Proceedings of the American Mathematical Society, vol. 127, no. 02, pp. 355–362, 1999
  19. On the Artin root numbers of the L-functions associated with odd dirichlet characters of prime conductorSur le calcul numérique des constantes des équations fonctionnelles des fonctions L associées aux caractères impairs
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 329, no. 5, pp. 347–350, 1999
  20. The Class Number One Problem for Some Non-Abelian Normal CM-Fields of 2-Power Degrees
    Proceedings of the London Mathematical Society, vol. 76, no. 3, pp. 523–548, 1998
  21. Transactions of the American Mathematical Society, vol. 349, no. 09, pp. 3657–3679, 1997
  22. Mathematics of Computation of the American Mathematical Society, vol. 66, no. 219, pp. 1185–1195, 1997
  23. Powerful Necessary Conditions for Class Number Problems
    Mathematische Nachrichten, vol. 183, no. 1, pp. 173–184, 1997
  24. CM-Fields with Cyclic Ideal Class Groups of 2-Power Orders
    Journal of Number Theory, vol. 67, no. 1, pp. 1–10, 1997
  25. Determination of All Nonquadratic Imaginary Cyclic Number Fields of 2-Power Degrees with Ideal Class Groups of Exponents ≤2
    Mathematics of Computation, vol. 64, no. 209, p. 323, 1995
  26. Lower Bounds for Relative Class Numbers of CM-Fields
    Proceedings of the American Mathematical Society, vol. 120, no. 2, p. 425, 1994
  27. The Exponent 2-Class-Group Problem for Non-Galois Over Q Quartic Fields That Are Quadratic Extensions of Imaginary Quadratic Fields
    Journal of Number Theory, vol. 49, no. 2, pp. 133–141, 1994
  28. Majoration Et Minoration Du Nombre De Classes D'Ideaux Des Corps Reels Purs De Degre Premier
    Bulletin of the London Mathematical Society, vol. 25, no. 6, pp. 533–540, 1993
  29. L-Functions and Class Numbers of Imaginary Quadratic Fields and of Quadratic Extensions of an Imaginary Quadratic Field
    Mathematics of Computation, vol. 59, no. 199, p. 213, 1992
  30. Détermination des corps quartiques cycliques totalement imaginaires à groupe des classes d'idéaux d'exposant ≤2
    Manuscripta Mathematica, vol. 77, no. 1, pp. 385–404, 1992
  31. Norme relative de l'unité fondamentale de certains corps biquadratiques et parité des oongueurs de cycles d'idéaux réduits
    Journal of Number Theory, vol. 42, no. 3, pp. 361–368, 1992
  32. Les extensions quadratiques du corps des rationnels, ou du corps de Gauss, ou du corps des racines cubiques de l'unité de calibres 1
    Manuscripta Mathematica, vol. 71, no. 1, pp. 223–223, 1991
  33. Les extensions quadratiques du corps des rationnels, ou du corps de Causs, ou du corps des racines cubiques de l'unité de calibres 1
    Manuscripta Mathematica, vol. 69, no. 1, pp. 387–410, 1990
  34. Continued fractions and real quadratic fields
    Journal of Number Theory, vol. 30, no. 2, pp. 167–176, 1988