Sommaire du Fascicule no. 1

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
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
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

Sommaire du Fascicule no. 2

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
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

Sommaire du Fascicule no. 3

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
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
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