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 $\mathbb{Z}\left[i\right]$

  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

• $M\left(x\right)=o\left(x\right)$ 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 $\{k,4k\pm 4\}$

  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 $\mathbb{Q}$

  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 $\Lambda$-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