Issue no. 1 Table of Contents

A Beilinson–Bernstein Theorem for Twisted Arithmetic Differential Operators on the Formal Flag Variety
Andrés Sarrazola-Alzate  
p. 1-43
Extensions of mod p representations of division algebras
Andrew Keisling; Dylan Pentland
p. 45-74
Sur la fonction Delta de Hooley associée à des caractères
Alexandre Lartaux
p. 75-126
On discrepancy, intrinsic Diophantine approximation, and spectral gaps
Alexander Gorodnik; Amos Nevo
p. 127-174
Étude du graphe divisoriel 5
Éric Saias
p. 175-214
Congruences of Eisenstein series of level Γ 1 (N) via Dieudonné theory of formal groups
Ningchuan Zhang
p. 215-249
Explicit formulas for the exponential and logarithm of the Carlitz–Tate twist, and applications
Takehiro Hasegawa
p. 251-291
Solubility of Additive Forms of Twice Odd Degree over ℚ 2 (5)
Drew Duncan; David B. Leep
p. 293-309
New gaps on the Lagrange and Markov spectra
Luke Jeffreys; Carlos Matheus; Carlos Gustavo Moreira
p. 311-338
Non-totally real number fields and toroidal groups
Alessandro Dioguardi Burgio; Giovanni Falcone; Mario Galici
p. 339-359

Issue no. 2 Table of Contents

Tamagawa Products for Elliptic Curves Over Number Fields
Yunseo Choi; Sean Li; Apoorva Panidapu; Casia Siegel
p. 361-404
Adding Level Structure to Supersingular Elliptic Curve Isogeny Graphs
Sarah Arpin
p. 405-443
Semi-local units modulo cyclotomic units in the cyclotomic ℤ 2 -extensions
Takae Tsuji
p. 445-479
Fermat–Wilson Supercongruences, Arithmetic Derivatives and Strange Factorizations
Dinesh S. Thakur
p. 481-491
Moduli for rational genus 2 curves with real multiplication for discriminant 5
Alex Cowan; Kimball Martin
p. 493-525
On Lehmer’s question for integer-valued polynomials
Berend Ringeling
p. 527-536
Comparing direct limit and inverse limit of even K-groups in multiple ℤ p -extensions
Meng Fai Lim
p. 537-555
The Hybrid Euler–Hadamard Product Formula for Dirichlet L-functions in 𝔽 q [T]
Michael Yiasemides
p. 557-619
Twisted Thue equations with multiple exponents in fixed number fields
Tobias Hilgart; Volker Ziegler
p. 621-635
Automorphy of mod 2 Galois representations associated to certain genus 2 curves over totally real fields
Alexandru Ghitza; Takuya Yamauchi
p. 637-660
Polynomial Bounds on Torsion From a Fixed Geometric Isogeny Class of Elliptic Curves
Tyler Genao
p. 661-670
Galois groups of p-extensions of higher local fields
Victor Abrashkin
p. 671-724
Estimates for a three-dimensional exponential sum with monomials
Javier Pliego
p. 725-766

Issue no. 3 Table of Contents

On higher regulators of Siegel varieties
Antonio Cauchi; Francesco Lemma; Joaquín Rodrigues Jacinto
p. 767-804
An ergodic approach towards an equidistribution result of Ferrero–Washington
Jungwon Lee; Bharathwaj Palvannan
p. 805-833
Genus one half stacky curves violating the local-global principle
Han Wu; Chang Lv
p. 835-841
Lifting of vector-valued automorphic forms
Jitendra Bajpai; Subham Bhakta
p. 843-867
𝒟 ^ 𝔛,k,ℚ (0) -modules holonomes sur une courbe formelle
Raoul Hallopeau
p. 869-917
The theory of Kolyvagin systems for p=3
Ryotaro Sakamoto
p. 919-946
Absolute Bound On the Number of Solutions of Certain Diophantine Equations of Thue and Thue–Mahler Type
Anton Mosunov
p. 947-965
Uniqueness of L-functions and meromorphic functions under sharing of sets
Abhijit Banerjee; Ha Huy Khoai; Arpita Kundu
p. 967-985
Simultaneous Diophantine approximation with a divisibility condition
Bernard de Mathan
p. 987-1008
Some Obstructions to Solvable Points on Higher Genus Curves
James Rawson
p. 1009-1019
Singular Vectors and ψ-Dirichlet Numbers over Function Field
Shreyasi Datta; Yewei Xu
p. 1021-1038
Approximation by non-convergents and second Lagrange spectrum
Dmitry Gayfulin
p. 1039-1051
On Periodicity of Continued Fractions with Partial Quotients in Quadratic Number Fields
Zhaonan Wang; Yingpu Deng
p. 1053-1076
Kähler differentials and Z p -extensions
Laurent Berger
p. 1077-1084
Computing the cohomology of constructible étale sheaves on curves
Christophe Levrat
p. 1085-1122
Variation of canonical heights of subvarieties for polarized endomorphisms
Thomas Gauthier; Gabriel Vigny
p. 1123-1135