Issue no. 1 Table of Contents

• The field-of-norms functor and the Hilbert symbol for higher local fields

  Victor Abrashkin; Ruth Jenni

  

  p. 1-39

• Explicit bounds for split reductions of simple abelian varieties

  Jeffrey D. Achter

  

  p. 41-55

• Nombres de Pisots, matrices primitives et bêta-conjugués
  [Pisot numbers, primitive matrices and beta-conjugates]

  Anne Bertrand-Mathis

  

  p. 57-72

• On computing quaternion quotient graphs for function fields

  Gebhard Böckle; Ralf Butenuth

  

  p. 73-99

• Images directes I : Espaces rigides analytiques et images directes
  [Direct images I: Rigid analytic spaces and direct images]

  Jean-Yves Etesse

  

  p. 101-151

• The summatory function of $q$-additive functions on pseudo-polynomial sequences

  Manfred G. Madritsch

  

  p. 153-171

• Hopf-Galois module structure of tame biquadratic extensions

  Paul J. Truman

  

  p. 173-199

• Connected abelian complex Lie groups and number fields

  Daniel Vallières

  

  p. 201-229

• Failure of the Hasse principle for Châtelet surfaces in characteristic $2$

  Bianca Viray

  

  p. 231-236

• Another 80-dimensional extremal lattice

  Mark Watkins

  

  p. 237-255

Issue no. 2 Table of Contents

• The algebraic groups leading to the Roth inequalities

  Masami Fujimori

  

  p. 257-292

• Isomorphisms of algebraic number fields

  Mark van Hoeij; Vivek Pal

  

  p. 293-305

• Relations among arithmetical functions, automatic sequences, and sum of digits functions induced by certain Gray codes

  Yuichi Kamiya; Leo Murata

  

  p. 307-337

• On metacyclic extensions

  Masanari Kida

  

  p. 339-353

• On the number of representations in the Waring-Goldbach problem with a prime variable in an arithmetic progression

  Maurizio Laporta

  

  p. 355-368

• PSL$(2,7)$ septimic fields with a power basis

  Melisa J. Lavallee; Blair K. Spearman; Qiduan Yang

  

  p. 369-375

• Signed Selmer groups over $p$-adic Lie extensions

  Antonio Lei; Sarah Livia Zerbes

  

  p. 377-403

• Embedding orders into central simple algebras

  Benjamin Linowitz; Thomas R. Shemanske

  

  p. 405-424

• Norm-Euclidean Galois fields and the Generalized Riemann Hypothesis

  Kevin J. McGown

  

  p. 425-445

• The arithmetic of certain del Pezzo surfaces and K3 surfaces

  Dong Quan Ngoc Nguyen

  

  p. 447-460

• $R$-équivalence sur les familles de variétés rationnelles et méthode de la descente
  [$R$-equivalence on families of rational varieties and the descent method]

  Alena Pirutka

  

  p. 461-473

• A local-global principle for rational isogenies of prime degree

  Andrew V. Sutherland

  

  p. 475-485

• Invariants and coinvariants of semilocal units modulo elliptic units

  Stéphane Viguié

  

  p. 487-504

Issue no. 3 Table of Contents

• Lower bounds on the class number of algebraic function fields defined over any finite field

  Stéphane Ballet; Robert Rolland

  

  p. 505-540

• The probability that a complete intersection is smooth

  Alina Bucur; Kiran S. Kedlaya

  

  p. 541-556

• Delta-composantes des espaces de modules de revêtements
  [Delta-components of moduli spaces of covers]

  Orlando Cau

  

  p. 557-582

• Dihedral and cyclic extensions with large class numbers

  Peter J. Cho; Henry H. Kim

  

  p. 583-603

• Action of the Grothendieck-Teichmüller group on torsion elements of full Teichmüller modular groups in genus zero

  Benjamin Collas

  

  p. 605-622

• Intégralité des coefficients de Taylor de racines d’applications miroir
  [Integrality of the Taylor coefficients of roots of mirror maps]

  Éric Delaygue

  

  p. 623-638

• On the discrete logarithm problem for plane curves

  Claus Diem

  

  p. 639-667

• On classical weight one forms in Hida families

  Mladen Dimitrov; Eknath Ghate

  

  p. 669-690

• Binomial squares in pure cubic number fields

  Franz Lemmermeyer

  

  p. 691-704

• Siegel’s theorem and the Shafarevich conjecture

  Aaron Levin

  

  p. 705-727

• Weak multipliers for generalized van der Corput sequences

  Florian Pausinger

  

  p. 729-749

• Lehmer’s conjecture for polynomials satisfying a congruence divisibility condition and an analogue for elliptic curves

  Joseph H. Silverman

  

  p. 751-772

• Multiplicity estimate for solutions of extended Ramanujan’s system

  Evgeniy Zorin

  

  p. 773-781