×

zbMATH — the first resource for mathematics

Louboutin, Stéphane R.

Compute Distance To:
Author ID: louboutin.stephane-r Recent zbMATH articles by "Louboutin, Stéphane R."
Published as: Louboutin, Stéphane; Louboutin, Stéphane R.; Louboutin, S.; Louboutin, Stephane; Louboutin, S. R.
External Links: MGP
Documents Indexed: 150 Publications since 1988
all top 5

Serials

15 Journal of Number Theory
12 Acta Arithmetica
9 Comptes Rendus de l’Académie des Sciences. Série I
8 Colloquium Mathematicum
7 Mathematics of Computation
7 Proceedings of the American Mathematical Society
7 Publicationes Mathematicae
6 Manuscripta Mathematica
5 Canadian Journal of Mathematics
4 Canadian Mathematical Bulletin
3 Nagoya Mathematical Journal
3 Proceedings of the Japan Academy. Series A
3 International Journal of Number Theory
2 Journal of the London Mathematical Society. Second Series
2 Journal of the Mathematical Society of Japan
2 Mathematische Nachrichten
2 Mathematica Slovaca
2 Transactions of the American Mathematical Society
2 Bulletin of the Korean Mathematical Society
2 Journal of the Ramanujan Mathematical Society
2 Tatra Mountains Mathematical Publications
2 Journal de Théorie des Nombres de Bordeaux
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Moscow Mathematical Journal
1 Periodica Mathematica Hungarica
1 Bulletin of the London Mathematical Society
1 Czechoslovak Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal für die Reine und Angewandte Mathematik
1 Japanese Journal of Mathematics. New Series
1 Mathematische Zeitschrift
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Tohoku Mathematical Journal. Second Series
1 Journal of Symbolic Computation
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Experimental Mathematics
1 RIMS Kokyuroku
1 The Quarterly Journal of Mathematics
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 603 times in 234 Documents Cited by Year
Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one. Zbl 0809.11069
Louboutin, Stéphane; Okazaki, Ryotaro
23
1994
Continued fractions and real quadratic fields. Zbl 0652.12002
Louboutin, Stéphane
19
1988
The class number one problem for some non-abelian normal CM-fields. Zbl 0893.11045
Louboutin, Stéphane; Okazaki, Ryotaro; Olivier, Michel
17
1997
Majorations explicites de \(|{}L(1, {\chi{}})|\). (Explicit upper bounds on \(|{}L(1, {\chi{}})|\)). Zbl 0774.11051
Louboutin, Stéphane
16
1993
Lower bounds for relative class numbers of CM-fields. Zbl 0795.11058
Louboutin, Stéphane
15
1994
Some exact formulas for mean values of Dirichlet \(L\)- functions. (Quelques formules exactes pour des moyennes de fonctions \(L\) de Dirichlet.) Zbl 0802.11032
Louboutin, Stéphane
15
1993
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. Zbl 0998.11066
Louboutin, Stéphane
15
2001
Explicit bounds for residues of Dedekind zeta functions, values of \(L\)-functions at \(s=1\), and relative class numbers. Zbl 0967.11049
Louboutin, Stéphane
14
2000
Explicit lower bounds for residues at \(s=1\) of Dedekind zeta functions and relative class numbers of CM-fields. Zbl 1026.11085
Louboutin, Stéphane
13
2003
Upper bounds on \(| L(1,\chi)|\) and applications. Zbl 0912.11046
Louboutin, Stéphane
13
1998
The mean value of \(|L(k,\chi)|^2\) at positive rational integers \(k \geq 1\). Zbl 1013.11049
Louboutin, Stéphane
12
2001
Determination of all nonquadratic imaginary cyclic number fields of 2- power degrees with ideal class groups of exponents \(\leq 2\). Zbl 0822.11072
Louboutin, Stéphane
11
1995
Determination of all quaternion octic CM-fields with class number 2. Zbl 0861.11064
Louboutin, Stéphane
11
1996
The class number one problem for some non-abelian normal CM-fields of 2-power degrees. Zbl 0891.11054
Louboutin, Stéphane; Okazaki, Ryotaro
11
1998
The class number one problem for some non-abelian normal CM-fields of degree 24. Zbl 1010.11063
Lemmermeyer, F.; Louboutin, S.; Okazaki, R.
11
1999
Lower bound for \(L(1,\chi)\) and determination of the principal totally imaginary sextic abelian fields. (Minoration au point 1 des fonctions \(L\) et détermination des corps sextiques abéliens totalement imaginaires principaux.) Zbl 0761.11041
Louboutin, Stéphane
10
1992
Explicit upper bounds of the residue at the point 1 of zeta functions of certain number fields. (Majorations explicites du résidu au point 1 des fonctions zêta de certains corps de nombres.) Zbl 1040.11081
Louboutin, Stéphane
10
1998
Class numbers of real quadratic fields, continued fractions, reduced ideals, prime-producing quadratic polynomials and quadratic residue covers. Zbl 0771.11039
Louboutin, S.; Mollin, R. A.; Williams, H. C.
9
1992
The Brauer-Siegel theorem. Zbl 1078.11064
Louboutin, Stéphane R.
8
2005
Computation of relative class numbers of CM-fields by using Hecke \(L\)-functions. Zbl 0931.11050
Louboutin, Stéphane
8
2000
The class number one problem for the non-abelian normal CM-fields of degree 16. Zbl 0881.11079
Louboutin, Stéphane
8
1997
Computation of relative class numbers of imaginary abelian number fields. Zbl 0929.11065
Louboutin, Stéphane
8
1998
On the divisibility of the class number of imaginary quadratic number fields. Zbl 1269.11111
Louboutin, Stéphane R.
8
2009
The fundamental unit of some quadratic, cubic or quartic orders. Zbl 1165.11076
Louboutin, Stéphane R.
7
2008
\(L\)-functions and class numbers of imaginary quadratic fields and of quadratic extensions of an imaginary quadratic field. Zbl 0752.11046
Louboutin, Stéphane
7
1992
Computation of class numbers of number fields. (Calcul du nombre de classes des corps de nombres.) Zbl 0854.11060
Louboutin, Stéphane
7
1995
Minorations (sous l’hypothèse de Riemann généralisée) des nombres de classes des corps quadratique imaginaires. Application. (Explicit lower bounds for class numbers of imaginary quadratic fields (under the generalized Riemann hypothesis). Application). Zbl 0703.11048
Louboutin, Stéphane
7
1990
CM-fields with cyclic ideal class groups of 2-power orders. Zbl 0881.11078
Louboutin, Stéphane
7
1997
Groupe des classes d’idéaux triviaux. (Class group of trivial ideals). Zbl 0634.12008
Louboutin, Stéphane
7
1989
A twisted quadratic moment for Dirichlet \(L\)-functions. Zbl 1314.11055
Louboutin, Stéphane R.
6
2014
On the fundamental units of some cubic orders generated by units. Zbl 1307.11120
Lee, Jun Ho; Louboutin, Stéphane R.
6
2014
On a problem of D. H. Lehmer. Zbl 1160.11039
Louboutin, Stéphane R.; Rivat, Joël; Sárközy, András
6
2007
Class-number problems for cubic number fields. Zbl 0826.11051
Louboutin, Stéphane
6
1995
Computation of relative class numbers of CM-fields: Application to octic quaternion CM-fields. (Calcul des nombres de classes relatifs: Application aux corps octiques quaternioniques à multiplication complexe.) Zbl 0795.11059
Louboutin, Stéphane
6
1993
Explicit upper bounds of \(|L(1,\chi)|\). IV. (Majorations explicites de \(|L(1,\chi)|\). IV.) Zbl 0996.11051
Louboutin, Stéphane R.
6
2002
Computation of relative class numbers of CM-fields. Zbl 0879.11064
Louboutin, Stéphane
6
1997
Explicit upper bounds for \(| L(1, \chi) |\). II. (Majorations explicites de \(| L(1, \chi) |\). II.) Zbl 0864.11042
Louboutin, Stephane
6
1996
On the numerical computation of the constants of the functional equations of \(L\)-functions associated to odd characters. (Sur le calcul numérique des constantes des équations fonctionnelles des fonctions \(L\) associées aux caractères impairs.) Zbl 0958.11063
Louboutin, Stéphane
6
1999
On the mean value of \(|L(1,\chi)|^2\) for odd primitive Dirichlet characters. Zbl 0947.11025
Louboutin, Stéphane
6
1999
Mean values of \(L\)-functions and relative class numbers of cyclotomic fields. Zbl 1240.11133
Louboutin, S. R.
6
2011
The class-number one problem for some real cubic number fields with negative discriminants. Zbl 1171.11057
Louboutin, Stéphane R.
5
2006
Efficient computation of root numbers and class numbers of parametrized families of real abelian number fields. Zbl 1109.11065
Louboutin, Stéphane R.
5
2007
The class number one problem for the dihedral and dicyclic CM-fields. Zbl 1036.11056
Louboutin, Stéphane
5
1999
Computation of \(L(0,\chi)\) and of relative class numbers of CM-fields. Zbl 0985.11054
Louboutin, Stéphane
5
2001
On the class number one problem for non-normal quartic CM-fields. Zbl 0796.11050
Louboutin, Stéphane
5
1994
Computation of class numbers of quadratic number fields. Zbl 1030.11079
Louboutin, Stéphane
5
2002
The exponent three class group problem for some real cyclic cubic number fields. Zbl 0999.11068
Louboutin, Stéphane
5
2002
Non-{G}alois cubic number fields with exceptional units. Zbl 1399.11172
Louboutin, Stéphane R.
5
2017
On some cubic or quartic algebraic units. Zbl 1211.11121
Louboutin, Stéphane
5
2010
Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields. Zbl 1122.11053
Louboutin, Stéphane R.
4
2006
Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime \(2\). Zbl 1137.11072
Louboutin, Stéphane R.
4
2008
Construction of the real dihedral number fields of degree \(2p\). Applications. Zbl 1128.11316
Louboutin, Stéphane; Park, Young-Ho; Lefeuvre, Yann
4
1999
Explicit upper bounds on \(|L(1,\chi)|\). III. (Majorations explicites de \(|L(1,\chi)|\). III.) Zbl 0981.11031
Louboutin, Stéphane
4
2001
Class number problems for dicyclic CM-fields. Zbl 0963.11065
Louboutin, S.; Park, Y.-H.
4
2000
Computation of the relative class numbers of some Hilbert class fields. (Calcul des nombres de classes relatifs de certains corps de classes de Hilbert.) Zbl 0817.11049
Louboutin, Stéphane
4
1994
A finiteness theorem for imaginary abelian number fields. Zbl 0869.11089
Louboutin, Stéphane
4
1996
The class number one problem for the non-normal sextic CM-fields. II. Zbl 1042.11070
Boutteaux, Gérard; Louboutin, Stéphane
4
2002
Explicit upper bounds for values at \(s=1\) of Dirichlet \(L\)-series associated with primitive even characters. Zbl 1044.11082
Louboutin, Stéphane R.
4
2004
Norme relative de l’unité fondamentale et 2-rang du groupe des classes de certains corps biquadratiques. (Relative norm of the fundamental unit and 2-rank of the ideal class group of some biquadratic fields). Zbl 0703.11050
Louboutin, Stéphane
4
1991
Prime producing quadratic polynomials and class-numbers of real quadratic fields. Zbl 0711.11041
Louboutin, Stéphane
4
1990
Class number and class group problems for some non-normal totally real cubic number fields. Zbl 0997.11093
Louboutin, Stéphane
4
2001
Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields. Zbl 1282.11150
Louboutin, Stéphane R.
4
2011
Hasse unit indices of dihedral octic CM-fields. Zbl 0972.11105
Louboutin, Stéphane
4
2000
Real zeros of Dedekind zeta functions. Zbl 1322.11118
Louboutin, Stéphane R.
4
2015
An explicit lower bound on moduli of Dirichlet \(L\)-functions at \(s = 1\). Zbl 1352.11078
Louboutin, Stéphane R.
4
2015
On the fundamental units of a totally real cubic order generated by a unit. Zbl 1283.11152
Louboutin, Stéphane R.
4
2012
The non-normal quartic CM-fields and the dihedral octic CM-fields with ideal class groups of exponent \(\leq 2\). Zbl 1108.11085
Louboutin, Stéphane; Yang, Hee-Sun; Kwon, Soun-Hi
3
2004
Class numbers of real cyclotomic fields. Zbl 1072.11081
Louboutin, Stéphane R.
3
2004
On the Frobenius-Rabinovich theorem. (Extensions du théorème de Frobenius-Rabinovitsch.) Zbl 0746.11044
Louboutin, Stéphane
3
1991
The class number one problem for some non-normal sextic CM-fields. Zbl 1023.11057
Boutteaux, Gérard; Louboutin, Stéphane
3
2002
Explicit upper bounds for \(| L(1,\chi)|\) for primitive characters \(\chi\). Zbl 1065.11063
Louboutin, Stéphane R.
3
2004
The simplest quartic fields with ideal class groups of exponents less than or equal to 2. Zbl 1142.11365
Louboutin, Stéphane R.
3
2004
Resultants of cyclotomic polynomials. Zbl 0881.11073
Louboutin, S.
3
1997
The imaginary cyclic sextic fields with class numbers equal to their genus class numbers. Zbl 0885.11057
Louboutin, Stéphane
3
1998
The nonquadratic imaginary cyclic fields of \(2\)-power degrees with class numbers equal to their genus class numbers. Zbl 0919.11071
Louboutin, Stéphane
3
1999
The second and fourth moments of theta functions at their central point. Zbl 1308.11080
Louboutin, Stéphane R.; Munsch, Marc
3
2013
Twisted quadratic moments for Dirichlet \(L\)-functions. Zbl 1372.11090
Louboutin, Stéphane R.
3
2015
Resultants of Chebyshev polynomials: a short proof. Zbl 1368.11113
Louboutin, Stéphane R.
3
2013
Simple proofs of the Siegel-Tatuzawa and Brauer-Siegel theorems. Zbl 1114.11090
Louboutin, Stéphane R.
2
2007
Quadratic fields with principal Hilbert class fields and with complex multiplication. (Corps quadratiques à corps de classes de Hilbert principaux et à multiplication complexe.) Zbl 0854.11058
Louboutin, Stéphane
2
1996
Numerical evaluation at negative integers of the Dedekind zeta functions of totally real cubic number fields. Zbl 1125.11352
Louboutin, Stéphane R.
2
2004
Upper and lower bounds for the ideal class number of totally real fields of prime degree. (Majoration et minoration du nombre de classes d’idéaux des corps réels purs de degré premier.) Zbl 0806.11048
Barrucand, Pierre; Louboutin, Stéphane
2
1993
Corrections to: Some exact formulas for mean values of Dirichlet \(L\)-functions. (Corrections à: Quelques formules exactes pour des moyennes de fonctions \(L\) de Dirichlet.) Zbl 0802.11033
Louboutin, Stéphane
2
1994
Powerful necessary conditions for class number problems. Zbl 0871.11078
Louboutin, Stéphane
2
1997
Efficient computation of class numbers of real Abelian number fields. Zbl 1067.11081
Louboutin, Stéphane R.
2
2002
Exponents of the ideal class groups of CM number fields. Zbl 1049.11122
Louboutin, S.; Okazaki, R.
2
2003
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. (An upper bound for L(1,\(\chi\) ) where \(\chi\) is a primitive Dirichlet character or a character of a quadratic extension of a principal imaginary quadratic field). Zbl 0721.11049
Louboutin, Stéphane
2
1991
Explicit upper bounds for \(|L(1,\chi)|\) for primitive even Dirichlet characters. Zbl 0997.11067
Louboutin, Stéphane
2
2002
Determination of all quaternion CM-fields with ideal class groups of exponent 2. Zbl 0952.11025
Louboutin, Stéphane; Okazaki, Ryotaro
2
1999
On the size of \(L(1,\chi)\) and S. Chowla’s hypothesis implying that \(L(1,\chi)>0\) for \(s>0\) and for real characters \(\chi\). Zbl 1334.11069
Louboutin, S.
2
2013
The class number one problem for the dihedral CM-fields. Zbl 0958.11071
Lefeuvre, Yann; Louboutin, Stéphane
2
2000
Upper bounds on \(L(1,\chi)\) taking into account a finite set of prime ideals. Zbl 1422.11230
Louboutin, Stéphane R.
2
2018
Dedekind sums, mean square value of \(L\)-functions at \(s=1\) and upper bounds on relative class numbers. Zbl 1403.11070
Louboutin, Stéphane R.
2
2016
Fundamental units for orders generated by a unit. Zbl 1414.11146
Louboutin, Stéphane R.
2
2015
The class number one problem for some non-normal CM-fields of degree \(2p\). Zbl 1275.11143
Ahn, Jeoung-Hwan; Boutteaux, Gérard; Kwon, Soun-Hi; Louboutin, Stéphane
2
2012
Explicit upper bounds for residues of Dedekind zeta functions. Zbl 1410.11123
Louboutin, Stéphane R.
2
2015
Discriminants of cyclic cubic orders. Zbl 1401.11142
Lee, Jun Ho; Louboutin, Stéphane R.
2
2016
On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes. Zbl 1091.11039
Louboutin, Stéphane R.
1
2005
Fundamental units for a family of totally real cubic orders and the Diophantine equation \(u(u+a)(u+2a)=v(v+1)\). Zbl 1375.11070
Louboutin, Stéphane R.; Lee, Jun Ho
1
2017
Fast computation of relative class numbers of CM-fields. Zbl 1032.11047
Louboutin, Stéphane
1
2000
Non-Galois cubic number fields with exceptional units. II. Zbl 1453.11137
Louboutin, Stéphane R.
1
2020
On the discriminants of the powers of an algebraic integer. Zbl 1441.11270
Louboutin, Stéphane R.
1
2020
Representation of the elements of the finite field \(\mathbb{F}_p\) by fractions. Zbl 1449.11006
Louboutin, S.; Murchio, A.
1
2019
Upper bounds on \(L(1,\chi)\) taking into account a finite set of prime ideals. Zbl 1422.11230
Louboutin, Stéphane R.
2
2018
Non-{G}alois cubic number fields with exceptional units. Zbl 1399.11172
Louboutin, Stéphane R.
5
2017
Fundamental units for a family of totally real cubic orders and the Diophantine equation \(u(u+a)(u+2a)=v(v+1)\). Zbl 1375.11070
Louboutin, Stéphane R.; Lee, Jun Ho
1
2017
Dedekind sums, mean square value of \(L\)-functions at \(s=1\) and upper bounds on relative class numbers. Zbl 1403.11070
Louboutin, Stéphane R.
2
2016
Discriminants of cyclic cubic orders. Zbl 1401.11142
Lee, Jun Ho; Louboutin, Stéphane R.
2
2016
Discriminants of \(\mathfrak G n\)-orders. Zbl 1357.11113
Louboutin, Stéphane R.
1
2016
Real zeros of Dedekind zeta functions. Zbl 1322.11118
Louboutin, Stéphane R.
4
2015
An explicit lower bound on moduli of Dirichlet \(L\)-functions at \(s = 1\). Zbl 1352.11078
Louboutin, Stéphane R.
4
2015
Twisted quadratic moments for Dirichlet \(L\)-functions. Zbl 1372.11090
Louboutin, Stéphane R.
3
2015
Fundamental units for orders generated by a unit. Zbl 1414.11146
Louboutin, Stéphane R.
2
2015
Explicit upper bounds for residues of Dedekind zeta functions. Zbl 1410.11123
Louboutin, Stéphane R.
2
2015
Determination of the orders generated by a cyclic cubic unit that are Galois invariant. Zbl 1394.11073
Lee, Jun Ho; Louboutin, Stéphane R.
1
2015
A twisted quadratic moment for Dirichlet \(L\)-functions. Zbl 1314.11055
Louboutin, Stéphane R.
6
2014
On the fundamental units of some cubic orders generated by units. Zbl 1307.11120
Lee, Jun Ho; Louboutin, Stéphane R.
6
2014
The second and fourth moments of theta functions at their central point. Zbl 1308.11080
Louboutin, Stéphane R.; Munsch, Marc
3
2013
Resultants of Chebyshev polynomials: a short proof. Zbl 1368.11113
Louboutin, Stéphane R.
3
2013
On the size of \(L(1,\chi)\) and S. Chowla’s hypothesis implying that \(L(1,\chi)>0\) for \(s>0\) and for real characters \(\chi\). Zbl 1334.11069
Louboutin, S.
2
2013
On positive real zeros of theta and \(L\)-functions associated with real, even and primitive characters. Zbl 1299.11063
Louboutin, Stéphane R.; Munsch, Marc
1
2013
On the fundamental units of a totally real cubic order generated by a unit. Zbl 1283.11152
Louboutin, Stéphane R.
4
2012
The class number one problem for some non-normal CM-fields of degree \(2p\). Zbl 1275.11143
Ahn, Jeoung-Hwan; Boutteaux, Gérard; Kwon, Soun-Hi; Louboutin, Stéphane
2
2012
Mean values of \(L\)-functions and relative class numbers of cyclotomic fields. Zbl 1240.11133
Louboutin, S. R.
6
2011
Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields. Zbl 1282.11150
Louboutin, Stéphane R.
4
2011
Some quartic number fields containing an imaginary quadratic subfield. Zbl 1250.11092
Louboutin, Stéphane R.
1
2011
On some cubic or quartic algebraic units. Zbl 1211.11121
Louboutin, Stéphane
5
2010
On the divisibility of the class number of imaginary quadratic number fields. Zbl 1269.11111
Louboutin, Stéphane R.
8
2009
On the fourth moment of theta functions at their central point. Zbl 1266.11089
Barry, Amadou Diogo; Louboutin, Stéphane R.
1
2009
Nonabelian normal CM-fields of degree \(2pq\). Zbl 1196.11151
Kwon, S.-H.; Louboutin, S.; Park, S.-M.
1
2009
The fundamental unit of some quadratic, cubic or quartic orders. Zbl 1165.11076
Louboutin, Stéphane R.
7
2008
Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime \(2\). Zbl 1137.11072
Louboutin, Stéphane R.
4
2008
On a problem of D. H. Lehmer. Zbl 1160.11039
Louboutin, Stéphane R.; Rivat, Joël; Sárközy, András
6
2007
Efficient computation of root numbers and class numbers of parametrized families of real abelian number fields. Zbl 1109.11065
Louboutin, Stéphane R.
5
2007
Simple proofs of the Siegel-Tatuzawa and Brauer-Siegel theorems. Zbl 1114.11090
Louboutin, Stéphane R.
2
2007
The class-number one problem for some real cubic number fields with negative discriminants. Zbl 1171.11057
Louboutin, Stéphane R.
5
2006
Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields. Zbl 1122.11053
Louboutin, Stéphane R.
4
2006
The Brauer-Siegel theorem. Zbl 1078.11064
Louboutin, Stéphane R.
8
2005
On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes. Zbl 1091.11039
Louboutin, Stéphane R.
1
2005
Explicit upper bounds for the residues at \(s=1\) of the Dedekind zeta functions of some totally real number fields. Zbl 1104.11051
Louboutin, Stéphane R.
1
2005
Explicit upper bounds for values at \(s=1\) of Dirichlet \(L\)-series associated with primitive even characters. Zbl 1044.11082
Louboutin, Stéphane R.
4
2004
The non-normal quartic CM-fields and the dihedral octic CM-fields with ideal class groups of exponent \(\leq 2\). Zbl 1108.11085
Louboutin, Stéphane; Yang, Hee-Sun; Kwon, Soun-Hi
3
2004
Class numbers of real cyclotomic fields. Zbl 1072.11081
Louboutin, Stéphane R.
3
2004
Explicit upper bounds for \(| L(1,\chi)|\) for primitive characters \(\chi\). Zbl 1065.11063
Louboutin, Stéphane R.
3
2004
The simplest quartic fields with ideal class groups of exponents less than or equal to 2. Zbl 1142.11365
Louboutin, Stéphane R.
3
2004
Numerical evaluation at negative integers of the Dedekind zeta functions of totally real cubic number fields. Zbl 1125.11352
Louboutin, Stéphane R.
2
2004
Explicit lower bounds for residues at \(s=1\) of Dedekind zeta functions and relative class numbers of CM-fields. Zbl 1026.11085
Louboutin, Stéphane
13
2003
Exponents of the ideal class groups of CM number fields. Zbl 1049.11122
Louboutin, S.; Okazaki, R.
2
2003
Explicit upper bounds of \(|L(1,\chi)|\). IV. (Majorations explicites de \(|L(1,\chi)|\). IV.) Zbl 0996.11051
Louboutin, Stéphane R.
6
2002
Computation of class numbers of quadratic number fields. Zbl 1030.11079
Louboutin, Stéphane
5
2002
The exponent three class group problem for some real cyclic cubic number fields. Zbl 0999.11068
Louboutin, Stéphane
5
2002
The class number one problem for the non-normal sextic CM-fields. II. Zbl 1042.11070
Boutteaux, Gérard; Louboutin, Stéphane
4
2002
The class number one problem for some non-normal sextic CM-fields. Zbl 1023.11057
Boutteaux, Gérard; Louboutin, Stéphane
3
2002
Efficient computation of class numbers of real Abelian number fields. Zbl 1067.11081
Louboutin, Stéphane R.
2
2002
Explicit upper bounds for \(|L(1,\chi)|\) for primitive even Dirichlet characters. Zbl 0997.11067
Louboutin, Stéphane
2
2002
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. Zbl 0998.11066
Louboutin, Stéphane
15
2001
The mean value of \(|L(k,\chi)|^2\) at positive rational integers \(k \geq 1\). Zbl 1013.11049
Louboutin, Stéphane
12
2001
Computation of \(L(0,\chi)\) and of relative class numbers of CM-fields. Zbl 0985.11054
Louboutin, Stéphane
5
2001
Explicit upper bounds on \(|L(1,\chi)|\). III. (Majorations explicites de \(|L(1,\chi)|\). III.) Zbl 0981.11031
Louboutin, Stéphane
4
2001
Class number and class group problems for some non-normal totally real cubic number fields. Zbl 0997.11093
Louboutin, Stéphane
4
2001
Explicit bounds for residues of Dedekind zeta functions, values of \(L\)-functions at \(s=1\), and relative class numbers. Zbl 0967.11049
Louboutin, Stéphane
14
2000
Computation of relative class numbers of CM-fields by using Hecke \(L\)-functions. Zbl 0931.11050
Louboutin, Stéphane
8
2000
Class number problems for dicyclic CM-fields. Zbl 0963.11065
Louboutin, S.; Park, Y.-H.
4
2000
Hasse unit indices of dihedral octic CM-fields. Zbl 0972.11105
Louboutin, Stéphane
4
2000
The class number one problem for the dihedral CM-fields. Zbl 0958.11071
Lefeuvre, Yann; Louboutin, Stéphane
2
2000
Fast computation of relative class numbers of CM-fields. Zbl 1032.11047
Louboutin, Stéphane
1
2000
The class number one problem for some non-abelian normal CM-fields of degree 24. Zbl 1010.11063
Lemmermeyer, F.; Louboutin, S.; Okazaki, R.
11
1999
On the numerical computation of the constants of the functional equations of \(L\)-functions associated to odd characters. (Sur le calcul numérique des constantes des équations fonctionnelles des fonctions \(L\) associées aux caractères impairs.) Zbl 0958.11063
Louboutin, Stéphane
6
1999
On the mean value of \(|L(1,\chi)|^2\) for odd primitive Dirichlet characters. Zbl 0947.11025
Louboutin, Stéphane
6
1999
The class number one problem for the dihedral and dicyclic CM-fields. Zbl 1036.11056
Louboutin, Stéphane
5
1999
Construction of the real dihedral number fields of degree \(2p\). Applications. Zbl 1128.11316
Louboutin, Stéphane; Park, Young-Ho; Lefeuvre, Yann
4
1999
The nonquadratic imaginary cyclic fields of \(2\)-power degrees with class numbers equal to their genus class numbers. Zbl 0919.11071
Louboutin, Stéphane
3
1999
Determination of all quaternion CM-fields with ideal class groups of exponent 2. Zbl 0952.11025
Louboutin, Stéphane; Okazaki, Ryotaro
2
1999
Upper bounds on \(| L(1,\chi)|\) and applications. Zbl 0912.11046
Louboutin, Stéphane
13
1998
The class number one problem for some non-abelian normal CM-fields of 2-power degrees. Zbl 0891.11054
Louboutin, Stéphane; Okazaki, Ryotaro
11
1998
Explicit upper bounds of the residue at the point 1 of zeta functions of certain number fields. (Majorations explicites du résidu au point 1 des fonctions zêta de certains corps de nombres.) Zbl 1040.11081
Louboutin, Stéphane
10
1998
Computation of relative class numbers of imaginary abelian number fields. Zbl 0929.11065
Louboutin, Stéphane
8
1998
The imaginary cyclic sextic fields with class numbers equal to their genus class numbers. Zbl 0885.11057
Louboutin, Stéphane
3
1998
The class number one problem for some non-abelian normal CM-fields. Zbl 0893.11045
Louboutin, Stéphane; Okazaki, Ryotaro; Olivier, Michel
17
1997
The class number one problem for the non-abelian normal CM-fields of degree 16. Zbl 0881.11079
Louboutin, Stéphane
8
1997
CM-fields with cyclic ideal class groups of 2-power orders. Zbl 0881.11078
Louboutin, Stéphane
7
1997
Computation of relative class numbers of CM-fields. Zbl 0879.11064
Louboutin, Stéphane
6
1997
Resultants of cyclotomic polynomials. Zbl 0881.11073
Louboutin, S.
3
1997
Powerful necessary conditions for class number problems. Zbl 0871.11078
Louboutin, Stéphane
2
1997
Class-group problems for cubic number fields. Zbl 0888.11044
Louboutin, Stéphane
1
1997
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. Zbl 0978.11061
Louboutin, Stéphane
1
1997
Determination of all quaternion octic CM-fields with class number 2. Zbl 0861.11064
Louboutin, Stéphane
11
1996
Explicit upper bounds for \(| L(1, \chi) |\). II. (Majorations explicites de \(| L(1, \chi) |\). II.) Zbl 0864.11042
Louboutin, Stephane
6
1996
A finiteness theorem for imaginary abelian number fields. Zbl 0869.11089
Louboutin, Stéphane
4
1996
Quadratic fields with principal Hilbert class fields and with complex multiplication. (Corps quadratiques à corps de classes de Hilbert principaux et à multiplication complexe.) Zbl 0854.11058
Louboutin, Stéphane
2
1996
Determination of all nonquadratic imaginary cyclic number fields of 2- power degrees with ideal class groups of exponents \(\leq 2\). Zbl 0822.11072
Louboutin, Stéphane
11
1995
Computation of class numbers of number fields. (Calcul du nombre de classes des corps de nombres.) Zbl 0854.11060
Louboutin, Stéphane
7
1995
Class-number problems for cubic number fields. Zbl 0826.11051
Louboutin, Stéphane
6
1995
Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one. Zbl 0809.11069
Louboutin, Stéphane; Okazaki, Ryotaro
23
1994
Lower bounds for relative class numbers of CM-fields. Zbl 0795.11058
Louboutin, Stéphane
15
1994
On the class number one problem for non-normal quartic CM-fields. Zbl 0796.11050
Louboutin, Stéphane
5
1994
Computation of the relative class numbers of some Hilbert class fields. (Calcul des nombres de classes relatifs de certains corps de classes de Hilbert.) Zbl 0817.11049
Louboutin, Stéphane
4
1994
Corrections to: Some exact formulas for mean values of Dirichlet \(L\)-functions. (Corrections à: Quelques formules exactes pour des moyennes de fonctions \(L\) de Dirichlet.) Zbl 0802.11033
Louboutin, Stéphane
2
1994
Determination of all quaternion octic CM-fields with ideal class groups of exponents 2. Abridged version. Zbl 0809.11070
Louboutin, Stéphane; Okazaki, Ryotaro
1
1994
Majorations explicites de \(|{}L(1, {\chi{}})|\). (Explicit upper bounds on \(|{}L(1, {\chi{}})|\)). Zbl 0774.11051
Louboutin, Stéphane
16
1993
...and 20 more Documents
all top 5

Cited by 218 Authors

55 Louboutin, Stéphane R.
15 Kwon, Soun-Hi
11 Mollin, Richard Anthony
5 Liu, Huaning
4 Ahn, Jeoung-Hwan
4 Chang, Ku-Young
4 Ichimura, Humio
4 Kawamoto, Fuminori
4 Park, Sun-Mi
4 Togbé, Alain
4 Voight, John Michael
3 Azizi, Abdelmalek
3 Lemmermeyer, Franz Josef
3 Linowitz, Benjamin
3 Munsch, Marc
3 Okazaki, Ryotaro
3 Tomita, Koshi
3 Williams, Hugh Cowie
3 Yamamura, Ken
3 Yang, Hee-Sun
2 Anand, Jaitra Chattopadhyay
2 Bayad, Abdelmejid
2 Boutteaux, Gérard
2 Chakraborty, Kalyan
2 Chattopadhyay, Jaitra
2 Cho, Peter Jaehyun
2 Debaene, Korneel
2 Giberson, Luke
2 Győry, Kálmán
2 Hamahata, Yoshinori
2 Hoshi, Akinari
2 James, Kevin
2 Kanemitsu, Shigeru
2 Kim, Henry H.
2 Kishi, Yasuhiro
2 Lee, Geon-No
2 Lee, Seok Hyeong
2 Lee, Seungjai
2 Lin, Xin
2 Murabayashi, Naoki
2 Pollack, Paul
2 Roy, Bidisha
2 Scholl, Travis
2 Srinivasan, Anitha
2 Wang, Xiaohan
2 Zekhnini, Abdelkader
2 Zhang, Wenpeng
1 Aistleitner, Christoph
1 Alkan, Emre
1 Aoki, Miho
1 Aubry, Yves
1 Bajolet, Aurélien
1 Balady, Steve
1 Barbulescu, Razvan
1 Beers, J.
1 Bengoechea, Paloma
1 Benmerieme, Y.
1 Bérczes, Attila
1 Bertók, Csanád
1 Bettin, Sandro
1 Biró, András
1 Booker, Andrew R.
1 Bordignon, Matteo
1 Bouhamza, Mostapha
1 Bröker, Reinier
1 Burns, David John
1 Byeon, Dongho
1 Bzdęga, Bartłomiej
1 Cai, Tianxin
1 Chen, Zhixiong
1 Cheon, Seung Ju
1 Clark, Peter Louis
1 Cohen, Henri
1 Cook, Brian
1 Cremona, John E.
1 Dahl, Alexander
1 Das, Mithun Kumar
1 Dresden, Greg
1 Dresden, Gregory P. B.
1 Dujella, Andrej
1 Duquesne, Sylvain
1 Elma, Ertan
1 Evertse, Jan-Hendrik
1 Ferri, Fabio
1 Fishman, Daniel
1 Flórez, Rigoberto
1 Foster, Kurt
1 Fouvry, Etienne
1 Galateau, Aurélien
1 Gaudron, Éric
1 Ge, Zhenchao
1 Godinho, Hemar
1 Granville, Andrew James
1 Gras, Georges
1 Greither, Cornelius
1 Grützmann, Melchior
1 Guo, Xuejun
1 Hajdu, Lajos
1 Hajir, Farshid
1 Halter-Koch, Franz
...and 118 more Authors
all top 5

Cited in 70 Serials

46 Journal of Number Theory
25 Mathematics of Computation
18 Proceedings of the Japan Academy. Series A
11 Journal de Théorie des Nombres de Bordeaux
9 Proceedings of the American Mathematical Society
9 International Journal of Number Theory
7 Acta Arithmetica
7 Archiv der Mathematik
5 Manuscripta Mathematica
5 Nagoya Mathematical Journal
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Functiones et Approximatio. Commentarii Mathematici
4 Transactions of the American Mathematical Society
3 Annales de l’Institut Fourier
3 Journal of Algebra
2 Bulletin of the Australian Mathematical Society
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Journal of Pure and Applied Algebra
2 Journal für die Reine und Angewandte Mathematik
2 Mathematica Slovaca
2 Mathematische Zeitschrift
2 Expositiones Mathematicae
2 Chinese Science Bulletin
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 The Ramanujan Journal
2 Acta Mathematica Sinica. English Series
2 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of Mathematical Analysis and Applications
1 Rocky Mountain Journal of Mathematics
1 Mathematics Magazine
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Canadian Mathematical Bulletin
1 Duke Mathematical Journal
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of the Mathematical Society of Japan
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematika
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Bulletin of the Korean Mathematical Society
1 Acta Mathematica Hungarica
1 Journal of the Ramanujan Mathematical Society
1 Japan Journal of Industrial and Applied Mathematics
1 Experimental Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Finite Fields and their Applications
1 Selecta Mathematica. New Series
1 Annals of Combinatorics
1 Journal of Integer Sequences
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 The Quarterly Journal of Mathematics
1 Journal of the Australian Mathematical Society
1 Moscow Mathematical Journal
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Mediterranean Journal of Mathematics
1 Asian-European Journal of Mathematics
1 East Asian Mathematical Journal
1 Japanese Journal of Mathematics. 3rd Series
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Annales Mathématiques du Québec
1 ISRN Combinatorics

Citations by Year