Table of Contents

• Modified proof of a local analogue of the Grothendieck conjecture

  Victor Abrashkin

  

  p. 1-50

• On the parity of generalized partition functions, III

  Fethi Ben Saïd; Jean-Louis Nicolas; Ahlem Zekraoui

  

  p. 51-78

• Poids de l’inertie modérée de certaines représentations cristallines

  Xavier Caruso; David Savitt

  

  p. 79-96

• Ternary quadratic forms with rational zeros

  John Friedlander; Henryk Iwaniec

  

  p. 97-113

• On the maximal unramified pro-2-extension over the cyclotomic ${\mathbb{Z}}_2$-extension of an imaginary quadratic field

  Yasushi Mizusawa

  

  p. 115-138

• Elliptic curves with $\mathbb{Q}\left(ℰ\left[3\right]\right)=\mathbb{Q}\left({\zeta }_3\right)$ and counterexamples to local-global divisibility by 9

  Laura Paladino

  

  p. 139-160

• Remarques sur une conjecture de Lang

  Fabien Pazuki

  

  p. 161-179

• Eigenvalues in the large sieve inequality, II

  Olivier Ramaré

  

  p. 181-196

• The integral logarithm in Iwasawa theory : an exercise

  Jürgen Ritter; Alfred Weiss

  

  p. 197-207

• A note on the Hermite–Rankin constant

  Kazuomi Sawatani; Takao Watanabe; Kenji Okuda

  

  p. 209-217

• Degeneration of the Kummer sequence in characteristic $p>0$

  Yuji Tsuno

  

  p. 219-257

• Explicit construction of integral bases of radical function fields

  Qingquan Wu

  

  p. 259-270