Sommaire du Fascicule no. 1

Répartition galoisienne ultramétrique d’une classe d’isogénie de courbes elliptiques : Le cas de la mauvaise réduction. Application aux hauteurs locales.
Rodolphe Richard
p. 1-18
Ramified extensions of degree p and their Hopf–Galois module structure
G. Griffith Elder
p. 19-40
Heights and representations of split tori
Valerio Talamanca
p. 41-57
A Local-Global Criteria of Affine Varieties Admitting Points in Rank-One Subgroups of a Global Function Field
Chia-Liang Sun
p. 59-79
Rational torsion in elliptic curves and the cuspidal subgroup
Amod Agashe
p. 81-91
The large sieve with square norm moduli in ℤ[i]
Stephan Baier
p. 93-115
Counting points on the Fricke–Macbeath curve over finite fields
Jaap Top ; Carlo Verschoor
p. 117-129
Lower bounds for generalized unit regulators
James Sundstrom
p. 131-173
Some manifolds of Khinchin type for convergence
David Simmons
p. 175-193
Note on the Stern-Brocot sequence, some relatives, and their generating power series
Peter Bundschuh ; Keijo Väänänen
p. 195-202
On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application
Masanobu Kaneko ; Fumi Sakurai ; Hirofumi Tsumura
p. 203-218
Products of primes in arithmetic progressions: a footnote in parity breaking
Olivier Ramaré ; Aled Walker
p. 219-225
On the k-regularity of the k-adic valuation of Lucas sequences
Nadir Murru ; Carlo Sanna
p. 227-237
Traces des opérateurs de Hecke sur les espaces de formes automorphes de SO7, SO8 ou SO9 en niveau 1 et poids arbitraire
Thomas Mégarbané
p. 239-306
On the order modulo p of an algebraic number
Georges Gras
p. 307-329
Igusa’s Local Zeta Functions and Exponential Sums for Arithmetically Non Degenerate Polynomials
Adriana A. Albarracín-Mantilla ; Edwin León-Cardenal
p. 331-354

Sommaire du Fascicule no. 2

On canonical subgroups of Hilbert–Blumenthal abelian varieties
Shin Hattori
p. 355-391
An infinitesimal p-adic multiplicative Manin–Mumford Conjecture
Vlad Serban
p. 393-408
The Belyi Characterization of a Class of Modular Curves
Khashayar Filom
p. 409-429
Extensions of local fields and elementary symmetric polynomials
Kevin Keating
p. 431-448
Waring–Goldbach Problem with Piatetski-Shapiro Primes
Yıldırım Akbal ; Ahmet M. Güloğlu
p. 449-467
M(x)=o(x) Estimates for Beurling numbers
Gregory Debruyne ; Harold G. Diamond ; Jasson Vindas
p. 469-483
An exponential sum estimate for systems with linear polynomials
Shuntaro Yamagishi
p. 485-499
Class field theory for open curves over local fields
Toshiro Hiranouchi
p. 501-524
Campana points, Vojta’s conjecture, and level structures on semistable abelian varieties
Dan Abramovich ; Anthony Várilly-Alvarado
p. 525-532
Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules
Satoshi Fujii ; Tsuyoshi Itoh
p. 533-555
Méthode de Mahler, transcendance et relations linéaires : aspects effectifs
Boris Adamczewski ; Colin Faverjon
p. 557-573
Les variétés de Hecke–Hilbert aux points classiques de poids parallèle 1
Adel Betina
p. 575-607
Short intervals asymptotic formulae for binary problems with prime powers
Alessandro Languasco ; Alessandro Zaccagnini
p. 609-635
Pseudorandomness of the Ostrowski sum-of-digits function
Lukas Spiegelhofer
p. 637-649
Représentations galoisiennes diédrales et formes à multiplication complexe
Nicolas Billerey ; Filippo A. E. Nuccio Mortarino Majno di Capriglio
p. 651-670
Transcendence of the Hodge–Tate filtration
Sean Howe
p. 671-680
Perturbing Eisenstein polynomials over local fields
Kevin Keating
p. 681-694
Deformation rings and parabolic induction
Julien Hauseux ; Tobias Schmidt ; Claus Sorensen
p. 695-727

Sommaire du Fascicule no. 3

Modularity of elliptic curves over abelian totally real fields unramified at 3, 5, and 7
Sho Yoshikawa
p. 729-741
Ax–Lindemann and André–Oort for a Nonholomorphic Modular Function
Haden Spence
p. 743-779
The pro-l outer Galois actions associated to modular curves of prime power level
Yuichiro Hoshi ; Yu Iijima
p. 781-799
Some minimisation algorithms in arithmetic invariant theory
Tom Fisher ; Lazar Radičević
p. 801-828
Newton–Okounkov bodies: an approach of function field arithmetic
Huayi Chen
p. 829-845
One-class genera of exceptional groups over number fields
Markus Kirschmer
p. 847-857
Tamely ramified Iwasawa modules having no non-trivial pseudo-null submodules
Tsuyoshi Itoh
p. 859-872
Construction de nombres extrémaux pour le problème de l’approximation simultanée d’un nombre et de son carré
Samuel Pilon ; Damien Roy
p. 873-877
A note on the regularity of the Diophantine pair {k,4k±4}
Bo He ; Keli Pu ; Rulin Shen ; Alain Togbé
p. 879-892
On the class numbers of the fields of the p n -torsion points of elliptic curves over ℚ
Fumio Sairaiji ; Takuya Yamauchi
p. 893-915
On the number of perfect lattices
Roland Bacher
p. 917-945
The Hasse Norm Principle For Biquadratic Extensions
Nick Rome
p. 947-964
A variational open image theorem in positive characteristic
Gebhard Böckle ; Wojciech Gajda ; Sebastian Petersen
p. 965-977
Sub-Shimura Varieties for type O(2,n)
Andrew Fiori
p. 979-990
Cubic polynomials defining monogenic fields with the same discriminant
Chad T. Davis ; Blair K. Spearman ; Jeewon Yoo
p. 991-996
Odd order cases of the logarithmically averaged Chowla conjecture
Terence Tao ; Joni Teräväinen
p. 997-1015
Finite Λ-submodules of Iwasawa modules for a CM-field for p=2
Mahiro Atsuta
p. 1017-1035
On the genera of semisimple groups defined over an integral domain of a global function field
Rony A. Bitan
p. 1037-1057
Explicit L-functions and a Brauer–Siegel theorem for Hessian elliptic curves
Richard Griffon
p. 1059-1084