Sommaire du Fascicule no. 1

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

Sommaire du Fascicule no. 2

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