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Works (37)

Explicit formulae for the mean value of products of values of Dirichlet -functions at positive integers

Proceedings of the american mathematical society
2024-11 | Journal article
Contributors: Stéphane Louboutin
Source: Self-asserted source
Stéphane Louboutin

Mean square values of <i>L</i>-functions over subgroups for nonprimitive characters, Dedekind sums and bounds on relative class numbers

Canadian Journal of Mathematics
2023-10 | Journal article
Part of ISSN: 0008-414X
Part of ISSN: 1496-4279
Contributors: Stéphane R. Louboutin; Marc Munsch
Source: Self-asserted source
Stéphane Louboutin

Dedekind sums and class numbers of imaginary abelian number fields

Acta Mathematica Hungarica
2023-08 | Journal article
Part of ISSN: 0236-5294
Part of ISSN: 1588-2632
Contributors: S. R. Louboutin
Source: Self-asserted source
Stéphane Louboutin

Mean square value of $L$-functions at $s=1$ for non-primitive characters, Dedekind sumsand bounds on relative class numbers

Functiones et Approximatio Commentarii Mathematici
2023-03-23 | Journal article
Part of ISSN: 0208-6573
Contributors: Stéphane R. Louboutin
Source: Self-asserted source
Stéphane Louboutin

On Chowla's hypothesis implying that $L(s,\chi )>0$ for $s>0$ for real characters $\chi$

Bulletin of the Korean Mathematical Society
2023-01-31 | Journal article
Contributors: St'ephane R. Louboutin
Source: Self-asserted source
Stéphane Louboutin

On Ennola's Conjecture on Non-Galois Cubic Number Fields with Exceptional Units

Moscow Mathematical Journal
2021 | Journal article
Part of ISSN: 1609-4514
Contributors: Stéphane R. Louboutin
Source: Self-asserted source
Stéphane Louboutin

Upper bounds on residues of Dedekind zeta functions of non-normal totally real cubic fields

Acta Arithmetica
2021 | Journal article
Part of ISSN: 0065-1036
Part of ISSN: 1730-6264
Contributors: Stéphane R. Louboutin
Source: Self-asserted source
Stéphane Louboutin

On the continued fraction expansions of (1+\sqrt{ pq} )/2 and \sqrt{pq}

Comptes Rendus. Mathématique
2021-11-25 | Journal article
Part of ISSN: 1778-3569
Contributors: Stéphane R. Louboutin
Source: Self-asserted source
Stéphane Louboutin

On the Continued Fraction Expansions of $$\sqrt{p}$$ and $$\sqrt{2p}$$ for Primes $$p\equiv 3\pmod 4$$

Class Groups of Number Fields and Related Topics
2020 | Book chapter
Part of ISBN: 9789811515132
Part of ISBN: 9789811515149
Source: Self-asserted source
Stéphane Louboutin

On the order generated by the conjugates of an algebraic integer

Banach Center Publications
2020 | Journal article
Part of ISSN: 0137-6934
Part of ISSN: 1730-6299
Contributors: Stéphane R. Louboutin
Source: Self-asserted source
Stéphane Louboutin

Non-Galois cubic number fields with exceptional units. Part II

Journal of Number Theory
2020-01 | Journal article
Part of ISSN: 0022-314X
Source: Self-asserted source
Stéphane Louboutin

Representation of the elements of the finite field $${\mathbb {F}}_p$$ by fractions

Periodica Mathematica Hungarica
2019-12 | Journal article
Contributors: S. Louboutin; A. Murchio
Source: check_circle
Crossref

Twisted quadratic moments for Dirichlet $L$-functions at $s=2$

Publicationes Mathematicae Debrecen
2019-10-01 | Journal article
Part of ISSN: 0033-3883
Source: Self-asserted source
Stéphane Louboutin

ON THE DENOMINATOR OF DEDEKIND SUMS

대한수학회보
2019-07-31 | Journal article
Source: Self-asserted source
Stéphane Louboutin

Upper bounds on $L(1,\chi )$ taking into account a finite set of prime ideals

Acta Arithmetica
2018 | Journal article
Part of ISSN: 0065-1036
Part of ISSN: 1730-6264
Source: Self-asserted source
Stéphane Louboutin

Fundamental units for a family of totally real cubic orders and the diophantine equation u(u + a)(u + 2a) = v(v + 1)

International Journal of Number Theory
2017-08 | Journal article
Part of ISSN: 1793-0421
Part of ISSN: 1793-7310
Source: Self-asserted source
Stéphane Louboutin

Upper bounds on L (1, χ ) taking into account ramified prime ideals

Journal of Number Theory
2017-08 | Journal article
Part of ISSN: 0022-314X
Source: Self-asserted source
Stéphane Louboutin

Non-Galois cubic number fields with exceptional units

Publicationes Mathematicae Debrecen
2017-07-01 | Journal article
Part of ISSN: 0033-3883
Source: Self-asserted source
Stéphane Louboutin

Simple zeros of Dedekind zeta functions

Functiones et Approximatio Commentarii Mathematici
2017-03 | Journal article
Part of ISSN: 0208-6573
Source: Self-asserted source
Stéphane Louboutin

Dedekind Sums, Mean Square Value of $L$-Functions at $s=1$ and Upper Bounds on Relative Class Numbers

Bulletin Polish Acad. Sci. Math.
2016 | Journal article
Part of ISSN: 0239-7269
Part of ISSN: 1732-8985
Source: Self-asserted source
Stéphane Louboutin

Fundamental units for orders of unit rank 1 and generated by a unit

Banach Center Publications
2016 | Journal article
Part of ISSN: 0137-6934
Part of ISSN: 1730-6299
Source: Self-asserted source
Stéphane Louboutin

Discriminants of cyclic cubic orders

Journal of Number Theory
2016-11 | Journal article
Part of ISSN: 0022-314X
Source: Self-asserted source
Stéphane Louboutin

TWISTED QUADRATIC MOMENTS FOR DIRICHLET L-FUNCTIONS

대한수학회보
2015-11-30 | Journal article
Source: Self-asserted source
Stéphane Louboutin

Determination of the orders generated by a cyclic cubic unit that are Galois invariant

Journal of Number Theory
2015-03 | Journal article
Part of ISSN: 0022-314X
Source: Self-asserted source
Stéphane Louboutin

On the fundamental units of some cubic orders generated by units

Acta Arithmetica
2014 | Journal article
Part of ISSN: 0065-1036
Part of ISSN: 1730-6264
Source: Self-asserted source
Stéphane Louboutin

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

Colloquium Mathematicum
2013 | Journal article
Part of ISSN: 0010-1354
Part of ISSN: 1730-6302
Source: Self-asserted source
Stéphane Louboutin

On positive real zeros of theta and $L$-functions associated with real, even and primitive characters

Publicationes Mathematicae Debrecen
2013-12-01 | Journal article
Part of ISSN: 0033-3883
Source: Self-asserted source
Stéphane Louboutin

The second and fourth moments of theta functions at their central point

Journal of Number Theory
2013-04 | Journal article
Part of ISSN: 0022-314X
Source: Self-asserted source
Stéphane Louboutin

The class number one problem for some non-normal CM-fields of degree 2 p

Journal of Number Theory
2012-08 | Journal article
Part of ISSN: 0022-314X
Source: Self-asserted source
Stéphane Louboutin

Some quartic number fields containing an imaginary quadratic subfield

Colloquium Mathematicum
2011 | Journal article
Part of ISSN: 0010-1354
Part of ISSN: 1730-6302
Source: Self-asserted source
Stéphane Louboutin

Mean values of L-functions and relative class numbers of cyclotomic fields

Publicationes Mathematicae Debrecen
2011-04-01 | Journal article
Part of ISSN: 0033-3883
Source: Self-asserted source
Stéphane Louboutin

On some cubic or quartic algebraic units

Journal of Number Theory
2010-04 | Journal article
Part of ISSN: 0022-314X
Source: Self-asserted source
Stéphane Louboutin

On the Ono invariants of imaginary quadratic number fields

Journal of Number Theory
2009-10 | Journal article
Part of ISSN: 0022-314X
Source: Self-asserted source
Stéphane Louboutin

The class-number one problem for some real cubic number fields with negative discriminants

Journal of Number Theory
2006-11 | Journal article
Part of ISSN: 0022-314X
Source: Self-asserted source
Stéphane Louboutin
grade
Preferred source (of 2)‎

Explicit upper bounds for  L(1, ) for primitive characters  

The Quarterly Journal of Mathematics
2004-03-01 | Journal article
Part of ISSN: 0033-5606
Part of ISSN: 1464-3847
Source: Self-asserted source
Stéphane Louboutin

Explicit upper bounds for values at s=1 of Dirichlet L-series associated with primitive even characters

Journal of Number Theory
2004-01 | Journal article
Part of ISSN: 0022-314X
Source: Self-asserted source
Stéphane Louboutin

Explicit Bounds for Residues of Dedekind Zeta Functions, Values of L-Functions at s=1, and Relative Class Numbers

Journal of Number Theory
2000-12 | Journal article
Part of ISSN: 0022-314X
Source: Self-asserted source
Stéphane Louboutin