Sommaire

On the Carlitz problem on the number of solutions to some special equations over finite fields
Ioulia N. Baoulina
p. 1-20
Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner
Marie José Bertin
p. 21-34
Quantitative versions of the Subspace Theorem and applications
Yann Bugeaud
p. 35-57
A valuation criterion for normal basis generators of Hopf-Galois extensions in characteristic p
Nigel P. Byott
p. 59-70
L’hyperanneau des classes d’adèles
Alain Connes
p. 71-93
Differential approach for the study of duals of algebraic-geometric codes on surfaces
Alain Couvreur
p. 95-120
L 2 discrepancy of generalized Zaremba point sets
Henri Faure ; Friedrich Pillichshammer
p. 121-136
The catenary degree of Krull monoids I
Alfred Geroldinger ; David J. Grynkiewicz ; Wolfgang A. Schmid
p. 137-169
Remarks on strongly modular Jacobian surfaces
Xavier Guitart ; Jordi Quer
p. 171-182
Étude des fibrations elliptiques d’une surface K3
Titem Harrache ; Odile Lecacheux
p. 183-207
Smooth solutions to the abc equation: the xyz Conjecture
Jeffrey C. Lagarias ; Kannan Soundararajan
p. 209-234
Pólya fields, Pólya groups and Pólya extensions: a question of capitulation
Amandine Leriche
p. 235-249
Borne polynomiale pour le nombre de points rationnels des courbes
Gaël Rémond
p. 251-255
Rational points on curves
Michael Stoll
p. 257-277
Explicit Hecke series for symplectic group of genus 4
Kirill Vankov
p. 279-298
Mod p structure of alternating and non-alternating multiple harmonic sums
Jianqiang Zhao
p. 299-308