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 ${\Gamma }_1\left(N\right)$ 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 ${\mathbb{Q}}_2\left(\sqrt{5}\right)$

  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 ${\mathbb{Z}}_2$-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 ${\mathbb{Z}}_p$-extensions

  Meng Fai Lim

  

  p. 537-555

• The Hybrid Euler–Hadamard Product Formula for Dirichlet $L$-functions in ${𝔽}_q\left[T\right]$

  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