Institut de Mathématiques de Luminy

PUBLICATIONS 2003-2004

Arithmétique et Théorie de l'Information

Gouillon Nicolas.
Un lemme de zéros,
Comptes Rendus Acad. Sci.  Ser. I, 335, 167-170, 2002.

Lachaud Gilles.
Zéros des fonctions L et formes toriques.
C. R. Math. Acad. Sci. Paris 335, no. 3, 219-222, 2002.

Lachaud Gilles, Ghorpade Sudhir R.
Étale cohomology, Lefschetz theorems and number of points of singular varieties over finite fields.
Moscow Mathematics. J. 2, no. 3, 589-631, 2002.

Lachaud Gilles, Ghorpade Sudhir R.
Number of solutions of equations over finite fields and a conjecture of Lang and Weil.
Number theory and discrete mathematics, 269-291, Birkhäuser, Basel, 2002.

Lachaud Gilles.
Spectral analysis and the Riemann hypothesis.
Proceedings of the International Conference on Special Functions and their Applications (Chennai, 2002). J. Comput. Appl. Math. 160, no. 1-2, 175--190, 2003.

Laurent Michel.
Simultaneous rational approximation to the successive powers of a real number.
Indag. Math. (N.S.) 14, no. 1, 45--53, 2003.

Louboutin Stéphane.
Note on a hypothesis implying the non-vanishing of Dirichlet L-series L(s,) for s > 0 and real characters .
Colloq. Math.,96, 207--212, 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.

Louboutin Stéphane, Okazaki Ryotaro.
Exponents of the ideal class groups of CM number fields.
Math. Z. 243, 155--159, 2003.

Rodier François.
Codes from flag varieties over a finite field.
J. Pure Appl. Algebra 178, no. 2, 203--214, 2003.

Rodier François.
On the nonlinearity of Boolean functions.
Proceedings of WCC2003, Workshop on coding and cryptography 2003, sous la direction de  D. Augot, P. Charpin, G. Kabatianski, INRIA, pp. 397 - 405, 2003.

Aubry Yves, Perret Marc.
On the characteristic polynomials of the Frobenius endomorphism for projective curves over finite fields.
Finite Fields Appl. 10, no. 3, 412--431, 2004.

Aubry Yves, Perret Marc.
Divisibility of zeta functions of curves in a covering.
Arch. Math. (Basel) 82, no. 3, 205--213, 2004.

Ballet Stéphane, Rolland Robert.
Multiplication algorithm in a finite field and tensor rank of the multiplication.
Journal of Algebra, Vol 272/1, 173--185, 2004.

Laurent Michel, Poulakis Dimitrios.
On the global distance between two algebraic points on a curve.
J. Number Theory 104, no. 2, 210--254, 2004.

Laurent Michel.
Totally real integral points on a plane algebraic curve.
Number theory, 203--208, CRM Proc. Lecture Notes, 36, Amer. Math. Soc., Providence, RI, 2004.

Louboutin Stéphane.
Explicit upper bounds for | L(1, ) | for primitive characters .
Q. J. Math. 55, no. 1, 57--68, 2004.

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.

Louboutin Stéphane.
Class numbers of real cyclotomic fields.
Publ. Math. Debrecen, 64, 451--461, 2004.

Louboutin Stéphane.
The simplest quartic fields with ideal class groups of exponents <=2.
J. Math. Soc. Japan, 56, 717--727, 2004.

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, ) > 0 for s > 0 and for real characters .
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, 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.

Rodier François.
Sur la non-linéarité des fonctions booléennes,
Acta Arithmetica, vol 115, 1-22, 2004.

Aubry Yves.
Class number in non Galois quartic and non abelian Galois octic function fields over finite fields.
Bulletin of the Greek Math. Soc, 15 pages. A paraître.

Ballet Stéphane, Rolland Robert.
On the bilinear complexity of the multiplication in finite fields.
Proceedings de AGCT9. A paraître.

Ballet Stéphane, Le Brigand Dominique, Rolland Robert.
Descent of the definition field of a tower of function fields and applications.
Journal of Algebra. A paraître.

Bugeaud Y., Laurent Michel.
Exponents of diophantine approximation and sturmian continued fractions.
Annales de l'Institut Fourier, 25 pages. A paraître.

Gouillon Nicolas.
Formes linéaires en deux logarithmes.
Journal de Théorie des Nombres de Bordeaux. A paraître.

Ouvrages

Aubry Yves, Lachaud Gilles.
Algebraic Geometry and Coding Theory.
Exposés présentés lors de la conférence AGCT-9 tenue à Luminy en mai 2003.
Société Mathématique de France (collection Séminaires & Congrès, 250 pp. A paraître.

Tsfasman Michael A., Vladuts Serge, Nogin D.
Algebraic Geometry Codes: Basic Notions.
Université Indépendante de Moscou, 503 pp. (en russe, l'édition anglaise est en préparation), 2003.



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