Sommaire

• Non-vanishing of $n$-th derivatives of twisted elliptic $L$-functions in the critical point

  Jacek Pomykała

  

  p. 1-10

• On the Piatetski-Shapiro-Vinogradov theorem

  Angel Kumchev

  

  p. 11-23

• Sums of squares in $\mathbb{Z}\left[\sqrt{k}\right]$

  Fernando Chamizo

  

  p. 25-39

• Some $\Omega$-results related to the fourth power moment of the Riemann zeta-function and to the additive divisor problem

  Jerzy Kaczorowski ;  Bogdan Szydło

  

  p. 41-50

• Unramified quaternion extensions of quadratic number fields

  Franz Lemmermeyer

  

  p. 51-68

• Inégalités sur la mesure de Mahler d'un polynôme

  V. Flammang

  

  p. 69-74

• Equivalences between elliptic curves and real quadratic congruence function fields

  Andreas Stein

  

  p. 75-95

• Linear forms in the logarithms of three positive rational numbers

  Curtis D. Bennett ;  Josef Blass ;  A. M. W. Glass ;  David B. Meronk ;  Ray P. Steiner

  

  p. 97-136

• The integer transfinite diameter of intervals and totally real algebraic integers

  V. Flammang ;  G. Rhin ;  C. J. Smyth

  

  p. 137-168

• Une famille de réseaux dual-extrêmes

  Jacques Martinet

  

  p. 169-181

• On blocks of arithmetic progressions with equal products

  N. Saradha

  

  p. 183-199

• Galois structure of ideals in wildly ramified abelian $p$-extensions of a $p$-adic field, and some applications

  Nigel P. Byott

  

  p. 201-219

• Poly-Bernoulli numbers

  Masanobu Kaneko

  

  p. 221-228

• La conjecture des quatre exponentielles et les conjectures de D. Bertrand sur la fonction modulaire

  Guy Diaz

  

  p. 229-245

• Erratum “Automacity IV : sequences, sets, and diversity”

  J. Shallit

  

  p. 247

• Erratum “On the computation of quadratic $2$-class groups”

  W. Bosma ;  P. Stevenhagen

  

  p. 249