Table of Contents

• 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
  [Epstein zeta function and Bloch-Wigner dilogarithm]

  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
  [The hyperring of adèle classes]

  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 $K3$
  [Elliptic fibrations of a $K3$ surface]

  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
  [Polynomial bound for the number of rational points on curves]

  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