Zobrazeno 1 - 10 of 21 pro vyhledávání: '"Stéphane R. Louboutin"'
3
Second Moment Of Dirichlet L -Functions, Character Sums Over Subgroups And Upper Bounds On Relative Class Numbers
Autor: Stéphane R. Louboutin, Marc Munsch
We prove an asymptotic formula for the mean-square average of L-functions associated with subgroups of characters of sufficiently large size. Our proof relies on the study of certain character sums ${\mathcal{A}}(p,d)$ recently introduced by E. Elma,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d351d4a27d0e1a286b3e9be6885a322a
https://hal.science/hal-03661946
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4
On Ennola's Conjecture on Non-Galois Cubic Number Fields with Exceptional Units
Autor: Stéphane R. Louboutin
Publikováno v: Moscow Mathematical Journal
Moscow Mathematical Journal, 2021, 21 (4), pp.789-805. ⟨10.17323/1609-4514-2021-21-4-789-805⟩
International audience; Let ε be a non-Galois totally real cubic special unit, i.e. a unit such that ε − 1 is also a unit. Then ε and ε − 1 are multiplicatively independent and the unit index j ε of the groups of units generated by −1, ε
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b626e937d65998ba31b3f5b90ee2c8ec
https://hal.science/hal-03661944
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5
Discriminants of cyclic cubic orders
Autor: Stéphane R. Louboutin, Jun Ho Lee
Publikováno v: Journal of Number Theory. 168:64-71
Let α be a cubic algebraic integer. Assume that the cubic number field Q ( α ) is Galois. Let α 1 , α 2 and α 3 be the real conjugates of α . We give an explicit Z -basis and the discriminant of the Gal ( Q ( α ) / Q ) -invariant totally real
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1037a19fef32a165a0fa1e57172fc359
https://doi.org/10.1016/j.jnt.2016.04.015
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7
Determination of the orders generated by a cyclic cubic unit that are Galois invariant
Autor: Stéphane R. Louboutin, Jun Ho Lee
Publikováno v: Journal of Number Theory
Journal of Number Theory, Elsevier, 2015, 148, pp.33-39. ⟨10.1016/j.jnt.2014.09.031⟩
Journal of Number Theory, 2015, 148, pp.33-39. ⟨10.1016/j.jnt.2014.09.031⟩
Let ϵ be a totally real cubic algebraic unit. Assume that the cubic number field Q ( ϵ ) is Galois. In this situation, it is natural to ask when the cubic order Z [ ϵ ] is invariant under the action of the Galois group Gal ( Q ( ϵ ) / Q ) . It se
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55fbc09e6c202c3a9319bfcad78fb303
https://doi.org/10.1016/j.jnt.2014.09.031
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8
Simple zeros of Dedekind zeta functions
Autor: Stéphane R. Louboutin
Publikováno v: Funct. Approx. Comment. Math. 56, no. 1 (2017), 109-116
Functiones et Approximatio Commentarii Mathematici
Functiones et Approximatio Commentarii Mathematici, Poznań : Wydawnictwo Naukowe Uniwersytet im. Adama Mickiewicza, 2017, 56 (1), pp.109-116. ⟨10.7169/facm/1598⟩
Functiones et Approximatio Commentarii Mathematici, 2017, 56 (1), pp.109-116. ⟨10.7169/facm/1598⟩
International audience; Using Stechkin's lemma we derive explicit regions of the half complex plane R (s) = 1 - c = logd(K) and vertical bar gamma vertical bar
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d2116e8a7924d51ceb2cd602861d1bc
http://projecteuclid.org/euclid.facm/1485486021
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10
Localization of the complex zeros of parametrized families of polynomials
Autor: Stéphane R. Louboutin
Publikováno v: Journal of Symbolic Computation. 43:304-309
Let P"n(x)=x^m+p"m"-"1(n)x^m^-^1+...+p"1(n)x+p"m(n) be a parametrized family of polynomials of a given degree with complex coefficients p"k(n) depending on a parameter n@?Z">="0. We use Rouche's theorem to obtain approximations to the complex roots o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf27b4fdb2e7b92c3e0ecb13812341de
https://doi.org/10.1016/j.jsc.2007.11.004
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