Institut de Mathématiques de Luminy

BIBLIOGRAPHIE - Stéphane LOUBOUTIN

Année
Publications
Files Type
  Louboutin Stéphane.
Real zeros of Dedekind zeta functions.
Int. J. Number Theory, to appear.
  ACL
  Lee Jun Ho, Louboutin Stéphane.
On the fundamental units of some cubic orders generated by units.
Acta Arith., to appear.
  ACL
2014 Louboutin Stéphane.
Upper bounds on relative class numbers of cyclotomic fields.
Mathematica Slovaca 64, 21--26, 2014.
Springer ACL
  Louboutin Stéphane.
A twisted quadratic moment for Dirichlet L-functions.
Proc. Amer. Math. Soc. 142, 1539--1544, 2014.
PDF ACL
2013 Louboutin Stéphane.
Resultants of Chebyshev polynomials: a short proof.
Canad. Math. Bull. 56, no. 3, 602--605, 2013.
CMS ACL
  Louboutin Stéphane.
On the size of L(1,χ) and S. Chowla's hypothesis implying that L(1,χ)>0 for s>0 and for real characters χ.
Colloq. Math. 130, no. 1, 79--90, 2013.
abstract ACL
  Louboutin Stéphane, Munsch Marc.
On positive real zeros of theta and $L$-functions associated with real, even and primitive characters.
Publ. Math. Debrecen 83/4, 643--665, 2013.
PDF ACL
  Louboutin Stéphane, Munsch Marc.
The second and fourth moments of theta functions at their central point.
J. Number Theory 133, no. 4, 1186--1193, 2013.
PDF ACL
2012 Ahn Jeoung-Hwan, Boutteaux Gérard, Kwon Soun-Hi, Louboutin Stéphane.
The class number one problem for some non-normal CM-fields of degree $2p$.
J. Number Theory 132, 1793--1806, 2012.
PDF ACL
  Louboutin Stéphane.
On the fundamental units of a totally real cubic order generated by a unit.
Proc. Amer. Math. Soc. 140, no. 2, 429--436, 2012.
PDF ACL
2011 Louboutin Stéphane.
Mean values of $L$-functions and relative class numbers of cyclotomic fields.
Publ. Math. Debrecen 78, 647--658, 2011.
PDF ACL
  Louboutin Stéphane.
Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields.
Math. Comp. 80, 1813--1822, 2011.
PDF ACL
  Louboutin Stéphane.
Some quartic number fields containing an imaginary quadratic subfield.
Colloq. Math. 122, 139--148, 2011.
abstract ACL
2010 Louboutin Stéphane.
On some cubic or quartic algebraic units.
J. Number Theory 130, no. 4, 956--960, 2010.
  ACL
2009 Kwon Soun-Hi, Louboutin Stéphane, Park S.-M.,
Non-abelian normal CM-fields of degree $2pq$.
J. Aust. Math. Soc., 87, 129--144, 2009.
  ACL
  Louboutin Stéphane.
On the divisibility of the class number of imaginary quadratic number fields.
Proc. Amer. Math. Soc., 137, 4025--4028, 2009.
  ACL
  Louboutin Stéphane.
On the Ono invariants of imaginary quadratic number fields.
J. Number Theory, 129, 2289--2294, 2009.
  ACL
  Barry Amadou D., Louboutin Stéphane.
On the fourth moment of theta functions at their central point.
Contemporary Math., 487, 1--7, 2009.
  ACL
2008

Louboutin Stéphane.
The fundamental unit of some quadratic, cubic or quartic orders.
J. Ramanujan Math. Soc. 23, no. 2, 191--210, 2008.

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260 k
ACL
  Louboutin Stéphane.
Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime 2.
Manuscripta Math. 125, 43--67, 2008.
  ACL
  Louboutin Stéphane.
Localization of the complex zeros of parametrized families of polynomials.
J. Symbolic Comput. 43,304--309, 2008.
  ACL
2007 Louboutin Stéphane.
Simple proofs of the Siegel-Tatuzawa and Brauer-Siegel theorems.
Colloq. Math. 108, 277--283, 2007.
  ACL
  Louboutin Stéphane, Rivat Joël, Sarkozy Andras.
On a problem of D. H. Lehmer.
Proc. Amer. Math. Soc. 135, 969--975, 2007.
  ACL
  Louboutin Stéphane.
Efficient computation of root numbers and class numbersof parametrized families of real abelian number fields.
Math. Comp. 76, 455--473, 2007.
  ACL
2006 Louboutin Stéphane.
The class-number one problem for some real cubic number fields with negative discriminants.
J. Number Theory 121, 30--39, 2006.
  ACL
  Louboutin Stéphane.
Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields.
Acta Arith. 121, 199--220, 2006.
  ACL
2005 Louboutin Stéphane.
On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes.
J. Théor. Nombres de Bordeaux 17, 559--573, 2005.
   
  Louboutin Stéphane.
Explicit upper bounds for the residues at s=1 of the Dedekind zeta functions of some totally real number fields.
Arithmetic, geometry and coding theory (AGCT 2003), 171--178, Sémin. Congr., 11, Soc. Math. France, Paris, 2005.
   
  Louboutin Stéphane.
The Brauer-Siegel theorem.
J. London Math. Soc. (2) 72, no. 1, 40--52, 2005.
   
2004 Louboutin Stéphane.
Class numbers of real cyclotomic fields.
Publ. Math. Debrecen, 64, 451--461, 2004.
   
 

Louboutin Stéphane, Yang H.-S., Kwon S.-H.
The non-normal quartic CM-fields and the dihedral octic CM-fields with ideal class groups of exponent <=-2.
Math. Slovaca, 54, 535--574, 2004.

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4,2 M
 
  Louboutin Stéphane.
The simplest quartic fields with ideal class groups of exponents $\le 2$.
J. Math. Soc. Japan, 56, 717--727, 2004.
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347 k
 
  Louboutin Stéphane.
Numerical evaluation at negative integers of the Dedekind zeta functions of totally real cubic number fields.
Algorithmic Number Theory (University of Vermont, 2004), Lectures Notes in Computer Science, 3076, 318--326, 2004.
   
  Louboutin Stéphane.
Remarks on S. Chowla's hypothesis implying that $L(s,\chi )>0$ for $s>0$ and for real characters $\chi$.
The Fields Institute Communications Series; Primes and Misdemeanours: Lectures in Honour of the Sixtieth Birthday of Hugh Cowie Williams}, Fields Institute Communications, 41, 283--291, 2004.
   
  Louboutin Stéphane.
Explicit upper bounds for $\vert L(1,\chi)\vert $ for primitive characters $\chi$.
Q. J. Math. 55, no. 1, 57--68, 2004.
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95 k
 
  Louboutin Stéphane.
Explicit upper bounds for values at s=1 of Dirichlet L-series associated with primitive even characters.
J. Number Theory, 104, 118--131, 2004.
   
2003 Louboutin Stéphane.
Explicit lower bounds for residues at s=1 of Dedekind zeta functions and relative class numbers of CM-fields.
Trans. Amer. Math. Soc. 355, 3079--3098, 2003.
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551 k
 
  Louboutin Stéphane.
Note on a hypothesis implying the non-vanishing of Dirichlet L-series L(s,\chi ) for s>0 and real characters \chi.
Colloq. Math.,96, 207--212, 2003.
   
  Louboutin Stéphane, Okazaki Ryotaro.
Exponents of the ideal class groups of CM number fields.
Math. Z. 243, 155--159, 2003.
   
2002 Boutteaux Gérard, Louboutin Stéphane.
The class number one problem for some non-normal sextic CM-fields. Part 2.
Acta Math. Inform. Univ. Ostraviensis 10, 3--23, 2002.
   
  Louboutin Stéphane.
Newblock Computation of class numbers of quadratic number fields.
Math. Comp. 71, 1735--1743, 2002.
   
  Louboutin Stéphane.
Efficient computation of class numbers of real abelian number fields.
Lectures Notes in Computer Science 2369, 134--147, 2002.
   
  Louboutin Stéphane.
Majorations explicites de $\vert L(1,\chi)\vert $. IV [Explicit upper bounds on $\vert L(1,\chi)\vert $. IV]
C. R. Acad. Sci. Paris Sér. I Math. 334, no. 8, 625--628, 2002.
   
  Louboutin Stéphane.
The exponent three class group problem for some real cyclic cubic number fields.
Proc. Amer. Math. Soc. 130, 353-361 (electronic), 2002.
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185 k
 
  Louboutin Stéphane.
Explicit upper bounds for |L(1, )| for primitive even Dirichlet characters.
Acta Arithmetica 101, 1-18, 2002.
   
  Boutteaux Gérard, Louboutin Stéphane.
The class number one problem for some non-normal sextic CM-fields. Part 1.
Analytic number theory (Beijing/Kyoto, 1999), 27--37, Dev. Math., 6, Kluwer Acad. Publ., Dordrecht, 2002.
   
2001 Louboutin Stéphane.
Computation of class numbers of quadratic number fields.
Math. Comp. 71, no. 240, 1735--1743 (electonic), november 2001.
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341 k
 
  Louboutin Stéphane.
The mean value of |L(k, )|2 at positive rational integers k\ge 1.
Colloquium math. 90, 69--76, 2001.
   
  Louboutin Stéphane.
Explicit upper bounds for residues of Dedekind zeta functions and values of L-functions at s=1, and explicit lower bounds for relative class numbers of CM-fields.
Canadian J. Math. 53 (6), 1194--1222, 2001.
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256 k
 
  Louboutin Stéphane.
Class number and class group problems for some non-normal totally real cubic number fields.
Manuscripta Math. 106, 411--427, 2001.
   
 

Louboutin Stéphane.
Majorations explicites de |L(1, )|. III. [Explicit upper bounds on |L(1, )|. III].
C. R. Acad. Sci. Paris Sér. I Math. 332, no. 2, 95--98, 2001.

   
  Louboutin Stéphane.
Computation of L(0,) and of relative class numbers of CM-fields.
Nagoya Math. J. 161, 171--191, 2001.
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191 k
 
2000 Louboutin Stéphane.
Formulae for some Artin root numbers.
Tatra Mountains Mathematical Publications 20, 19--29, 2000.
   
  Louboutin Stéphane.
Explicit bounds for residues of Dedekind zeta functions, values of L-functions at s = 1 and relative class numbers.
J. Number Theory 85, n° 2, 263--282, 2000
   
  Louboutin Stéphane.
Fast computation of relative class numbers of CM-fields.
Algorithmic Number Theory (Leiden, The Netherlands, 2000), 413--422, Lecture Notes in Comput. Sci., 1838, Springer, Berlin, 2000
   
  Lefeuvre Yann and Louboutin Stéphane.
The class number one problem for the dihedral CM-fields.
Algebraic number theory and Diophantine analysis (Graz, 1998), 249--275, de Gruyter, Berlin, 2000
   
  Louboutin Stéphane.
Computation of relative class numbers of CM-fields by using Hecke L-functions.
Math. Comp. 69, no. 229, 371--393, 2000
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392 k
 
  Louboutin Stéphane and Park Young-Ho.
Class number problems for dicyclic CM-fields.
Publ. Math. Debrecen 57, no. 3-4, 283--295, 2000
   
  Louboutin Stéphane.
Hasse unit indices of dihedral octic CM-fields.
Math. Nachr. 215, 107--113, 2000
   
1999 Louboutin Stéphane.
The nonquadratic imaginary cyclic fields of 2-power degrees with class numbers equal to their genus class numbers.
Proc. Amer. Math. Soc. 127, no. 2, 355--361, 1999
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229 k
 
  Louboutin Stéphane and Okazaki Ryotaro.
Determination of all quaternion CM-fields with ideal class groups of exponent 2.
Osaka J. Math. 36, no. 2, 229--257, 1999
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2,2 M
 
  Louboutin Stéphane.
On the mean value of |L(1, )|2 for odd primitive Dirichlet characters.
Proc. Japan Acad. Ser. A Math. Sci. 75, no. 7, 143--145, 1999
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161 k
 
  Louboutin Stéphane.
The class number one problem for the dihedral and dicyclic CM-fields.
Colloq. Math. 80, no. 2, 259--265, 1999
   
  Lemmermeyer F., Louboutin Stéphane and Okazaki Ryotaro.
The class number one problem for some non-abelian normal CM-fields of degree 24.
J. Théor. Nombres Bordeaux 11, no. 2, 387--406, 1999.
   
  Louboutin Stéphane and Mollin Richard A.
Solutions to x2-Dy2=Q.
Number theory (Ottawa, ON, 1996), 265--280, CRM Proc. Lecture Notes, 19, Amer. Math. Soc., Providence, RI, 1999
   
  Louboutin Stéphane and Park Young-Ho and Lefeuvre Yann.
Construction of the real dihedral number fields of degree 2p. applications.
Acta Arith. 89, no. 3, 201--215, 1999
   
  Louboutin Stéphane.
Sur le calcul numérique des constantes des équations fonctionnelles des fonctions L associées aux caractères impairs [On the Artin root numbers of the L-functions associated with odd Dirichlet characters of prime conductor].
C. R. Acad. Sci. Paris Sér. I Math. 329, no. 5, 347--350, 1999
   


1998 Louboutin Stéphane.
Majorations explicites du résidu au point 1 des fonctions zêta de certains corps de nombres [Explicit upper bounds of the residue at the point 1 of zeta functions of certain number fields].
J. Math. Soc. Japan 50, no. 1, 57--69, 1998
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1 M
  Louboutin Stéphane.
The imaginary cyclic sextic fields with class numbers equal to their genus class numbers.
Colloq. Math. 75, no. 2, 205--212, 1998
 
  Louboutin Stéphane.
Computation of relative class numbers of imaginary abelian number fields.
Experiment. Math. 7, no. 4, 293--303, 1998
 
 

Louboutin Stéphane and Okazaki Ryotaro.
The class number one problem for some non-abelian normal CM-fields of 2-power degrees.
Proc. London Math. Soc. (3) 76, no. 3, 523--548, 1998

 
  Louboutin Stéphane and Newman M.
On the diophantine equation XY + YZ + ZX = D.
Acta Math. et Inf. Universitatis Ostraviensis 6, 155--158, 1998
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  Louboutin Stéphane.
Upper bounds on |L(1, )| and applications.
Canad. J. Math. 50, no. 4, 794--815, 1998
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147 k
  Louboutin Stéphane.
Computation of relative class numbers of imaginary cyclic fields of 2-power degrees.
Algorithmic number theory (Portland, OR, 1998), 475--481, Lecture Notes in Comput. Sci., 1423, Springer, Berlin, 1998
 
1997 Louboutin Stéphane.
Resultants of cyclotomic polynomials.
Publ. Math. Debrecen 50, no. 1-2, 75--77, 1997
 
  Louboutin Stéphane.
Powerful necessary conditions for class number problems.
Math. Nachr. 183, 173--184, 1997
 
  Louboutin Stéphane and Okazaki Ryotaro and Olivier Michel.
The class number one problem for some non-abelian normal CM-fields.
Trans. Amer. Math. Soc. 349, no. 9, 3657--3678, 1997
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387 k
  Louboutin Stéphane.
Class-group problems for cubic number fields.
Japan. J. Math. (N.S.) 23, no. 2, 365--378, 1997
 
  Louboutin Stéphane.
Determination of all imaginary abelian number fields with relative class numbers any 2-power, which are composita of imaginary abelian number fields with prime power conductors.
Number theory (Liptovsky Jan, 1995). Tatra Mt. Math. Publ. 11, 43--58, 1997
 
  Louboutin Stéphane.
CM-fields with cyclic ideal class groups of 2-power orders.
J. Number Theory 67, no. 1, 1--10, 1997
 
  Louboutin Stéphane.
The class number one problem for the non-abelian normal CM-fields of degree 16.
Acta Arith. 82, no. 2, 173--196, 1997
 
  Louboutin Stéphane.
Computation of relative class numbers of CM-fields.
Math. Comp. 66, no. 219, 1185--1194, 1997
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224 k
1996 Louboutin Stéphane.
Corps quadratiques à corps de classes de Hilbert principaux et à multiplication complexe [Quadratic fields with principal Hilbert class fields and complex multiplication].
Acta Arith. 74, no. 2, 121--140, 1996
 
  Louboutin Stéphane.
A computational technique for determining relative class numbers of CM-fields.
Algorithmic number theory (Talence, 1996), 213--216, Lecture Notes in Comput. Sci., 1122, Springer, Berlin, 1996
 
  Louboutin Stéphane.
Determination of all quaternion octic CM-fields with class number 2.
J. London Math. Soc. (2) 54, no. 2, 227--238, 1996
 
  Louboutin Stéphane.
A finiteness theorem for imaginary abelian number fields.
Manuscripta Math. 91, no. 3, 343--352, 1996
 
  Louboutin Stéphane.
Majorations explicites de |L(1, )|. II. [Explicit upper bounds on |L(1, )|. II].
C. R. Acad. Sci. Paris Sér. I Math. 323, no. 5, 443--446, 1996
 
  Louboutin Stéphane.
The CM-fields with class number one which are Hilbert class fields of quadratic fields.
Proc. Japan Acad. Ser. A Math. Sci. 72, no. 1, 16--19, 1996
 
1995 Louboutin Stéphane and Mollin Richard A.
Bounds for class numbers of quadratic orders.
Computational algebra and number theory (Sydney, 1992), 153--158, Math. Appl., 325, Kluwer Acad. Publ., Dordrecht, 1995
 
  Louboutin Stéphane.
Une remarque sur l'exposant du groupe des classes d'idéaux des corps cubiques [On the exponents of the ideal class groups of pure cubic fields].
C. R. Acad. Sci. Paris Sér. I Math. 320, no. 10, 1161--1163, 1995
 
  Louboutin Stéphane.
Class-number problems for cubic number fields.
Nagoya Math. J. 138, 199--208, 1995
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767 k
  Louboutin Stéphane.
Calcul du nombre de classes des corps de nombres [Computing the class number of number fields].
Pacific J. Math. 171, no. 2, 455--467, 1995
 
  Louboutin Stéphane.
Determination of all nonquadratic imaginary cyclic number fields of 2-power degrees with ideal class groups of exponents 2.
Math. Comp. 64, no. 209, 323--340, 1995
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1,67 M
1994 Louboutin Stéphane.
Correction : "Some exact formulas for averages of Dirichlet L-functions" [Canad. Math. Bull. 36 (1993), no. 2, 190--196; MR 94c:11077].
Canad. Math. Bull. 37, no. 1, 89, 1994
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  Louboutin Stéphane.
On the class number one problem for nonnormal quartic CM-fields.
Tôhoku Math. J. (2) 46, no. 1, 1--12, 1994
 
  Louboutin Stéphane.
Lower bounds for relative class numbers of CM-fields.
Proc. Amer. Math. Soc. 120, no. 2, 425--434, 1994
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863 k
  Louboutin Stéphane.
Calcul des nombres de classes relatifs de certains corps de classes de Hilbert [Computation of the relative class numbers of some Hilbert class fields].
C. R. Acad. Sci. Paris Sér. I Math. 319, no. 4, 321--325, 1994
 
  Louboutin Stéphane and Okazaki Ryotaro.
Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one.
Acta Arith. 67, no. 1, 47--62, 1994
 
  Louboutin Stéphane.
The exponent 2-class-group problem for non-Galois over Q quartic fields that are quadratic extensions of imaginary quadratic fields.
J. Number Theory 49, no. 2, 133--141, 1994
 
  Louboutin Stéphane and Okazaki Ryotaro.
Determination of all quaternion octic CM-fields with ideal class groups of exponents 2. Abridged version.
Proc. Japan Acad. Ser. A Math. Sci. 70, no. 2, 56--61, 1994
 
1993 Louboutin Stéphane.
Minorations d'unités fondamentales---applications [Lower bounds for fundamental units---applications].
Nagoya Math. J. 130, 1--18, 1993
 
  Louboutin Stéphane and Mollin Richard A. and Williams H. C.
Class groups of exponent two in real quadratic fields.
Advances in number theory (Kingston, ON, 1991), 499--513, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993
 
  Louboutin Stéphane.
Majorations explicites de |L(1, )|. [Explicit upper bounds on |L(1, )|].
C. R. Acad. Sci. Paris Sér. I Math. 316, no. 1, 11--14, 1993
 
  Louboutin Stéphane.
Zéros réels des fonctions zêta et minorations de nombres de classes. Application à la majoration des discriminants de certains types de corps de nombres [Real zeros of zeta functions and lower bounds for class numbers. Application to upper bounds for discriminants of certain types of number fields].
Séminaire de Théorie des Nombres, Paris, 1991--92, 135--152, Progr. Math., 116, Birkhäuser Boston, Boston, MA, 1993
 
  Louboutin Stéphane.
Calcul des nombres de classes relatifs : application aux corps octiques quaternioniques multiplication complexe [Computation of relative class numbers of CM-fields : application to octic quaternion CM-fields].
C. R. Acad. Sci. Paris Sér. I Math. 317, no. 7, 643--646, 1993
 
  Louboutin Stéphane.
Quelques formules exactes pour des moyennes de fonctions L de Dirichlet [Some exact formulas for averages of Dirichlet L-functions].
Canad. Math. Bull. 36, no. 2, 190--196, 1993
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476 k
  Barrucand Pierre and Louboutin Stéphane.
Majoration et minoration du nombre de classes d'idéaux des corps réels purs de degré premier [Upper and lower bounds for the ideal class number of purely real fields of first degree].
Bull. London Math. Soc. 25, no. 6, 533--540, 1993
 
  Barrucand Pierre and Louboutin Stéphane.
Minoration au point 1 des fonctions L attachées à des caractères de Dirichlet [Lower bound at the point 1 of L-functions associated with Dirichlet characters].
Colloq. Math. 65, no. 2, 301--306, 1993
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156 k
1992 Louboutin Stéphane.
L-functions and class numbers of imaginary quadratic fields and of quadratic extensions of an imaginary quadratic field.
Math. Comp. 59, no. 199, 213--230, 1992
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1,32 M
  Louboutin Stéphane.
Détermination des corps quartiques cycliques totalement imaginaires à groupe des classes d'idéaux d'exposant 2 [Determining totally imaginary cyclic quartic fields with ideal class group of exponent 2].
Manuscripta Math. 77, no. 4, 385--404, 1992
 
  Louboutin Stéphane.
Norme relative de l'unité fondamentale de certains corps biquadratiques et parité des longueurs de cycles d'idéaux réduits [Relative norm of the fundamental unit of some biquadratic fields and parity of the lengths of cycles of reduced ideals].
J. Number Theory 42, no. 3, 361--368, 1992
 
  Louboutin Stéphane and Mollin Richard A. and Williams H. C.
Class numbers of real quadratic fields, continued fractions, reduced ideals, prime-producing quadratic polynomials and quadratic residue covers.
Canad. J. Math. 44, no. 4, 824--842, 1992
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1,92 M
  Louboutin Stéphane.
Détermination des corps quartiques cycliques totalement imaginaires à groupes des classes d'idéaux d'exposant 2 [Determination of all imaginary cyclic quartic fields with ideal class groups of exponent 2].
C. R. Acad. Sci. Paris Sér. I Math. 315, no. 3, 251--254, 1992
 
 

Louboutin Stéphane.
Minoration au point 1 des fonctions L et détermination des corps sextiques abéliens totalement imaginaires principaux [Lower bound at the point 1 of L-functions and determination of the principal totally imaginary abelian sextic fields].
Acta Arith. 62, no. 2, 109--124, 1992

 
1991 Louboutin Stéphane.
Addendum: "Quadratic extensions of the field of rationals, the Gaussian field or the field of cube roots of unity of caliber 1".
Manuscripta Math. 71, no. 2, 223, 1991
 
  Louboutin Stéphane.
Extensions du théorème de Frobenius-Rabinovitsch [Extensions of the Frobenius-Rabinovich theorem].
C. R. Acad. Sci. Paris Sér. I Math. 312, no. 10, 711--714, 1991
 
  Louboutin Stéphane.
Majoration au point 1$des fonctions L associées aux caractères de Dirichlet primitifs, ou au caractère d'une extension quadratique d'un corps quadratique imaginaire principal [Upper bound at the point 1 of L-functions associated with primitive Dirichlet characters or with the character of a quadratic extension of a principal imaginary quadratic field].
J. Reine Angew. Math. 419, 213--219, 1991
 
  Louboutin Stéphane.
Norme relative de l'unité fondamentale et 2-rang du groupe des classes d'idéaux de certains corps biquadratiques [Relative norm of the fundamental unit and two-rank of the ideal class group of certain biquadratic fields].
Acta Arith. 58, no. 3, 273--288, 1991
 
1990 Louboutin Stéphane.
Les extensions quadratiques du corps des rationnels, ou du corps de Gauss, ou du corps des racines cubiques de l'unité de calibres 1 [Quadratic extensions of the field of rationals, the Gaussian field or the field of cube roots of unity of caliber 1].
Manuscripta Math. 69, no. 4, 387--410, 1990
 
  Louboutin Stéphane.
Prime producing quadratic polynomials and class-numbers of real quadratic fields.
Canad. J. Math. 42, no. 2, 315--341, 1990
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1,4 M
addentum
 

Louboutin Stéphane.
Minorations (sous l'hypothèse de Riemann généralisée) des nombres de classes des corps quadratiques imaginaires. Application [Explicit lower bounds for the class numbers of imaginary quadratic fields (under the generalized Riemann hypothesis). Application].
C. R. Acad. Sci. Paris Sér. I Math. 310, no. 12, 795--800, 1990

 
 

Louboutin Stéphane.
Addendum: "Prime producing quadratic polynomials and class-numbers of real quadratic fields" [Canad. J. Math. 42 (1990), no. 2, 315--341; MR 91f:11073].
Canad. J. Math. 42, no. 6, 1131, 1990

 
  Louboutin Stéphane.
Le groupe des classes ambiges (au sens strict) [The group of ambiguous classes (in the strict sense)].
Séminaire de Théorie des Nombres, Paris 1987--88, 147--153, Progr. Math., 81, Birkhäuser Boston, Boston, MA, 1990
 
1989 Louboutin Stéphane.
Groupes des classes d'idéaux triviaux [Trivial ideal class groups].
Acta Arith. 54, no. 1, 61--74, 1989
 
 

Louboutin Stéphane.
Une version effective d'un théorème de A. Schinzel sur les longueurs des périodes de certains développements en fractions continues [An effective version of a theorem of A. Schinzel about the length of some continued fractional expansions].
C. R. Acad. Sci. Paris Sér. I Math. 308, no. 17, 511--513, 1989

 
1988

Louboutin Stéphane.
Continued fractions and real quadratic fields.
J. Number Theory 30, no. 2, 167--176, 1988

 


Last update : june 5, 2014, EL.