Sommaire du Fascicule no. 1

• On classifying Laguerre polynomials which have Galois group the alternating group

  Pradipto Banerjee ;  Michael Filaseta ;  Carrie E. Finch ;  J. Russell Leidy

  

  p. 1-30

• Random Galois extensions of Hilbertian fields

  Lior Bary-Soroker ;  Arno Fehm

  

  p. 31-42

• Algebraic independence of the generating functions of Stern’s sequence and of its twist

  Peter Bundschuh ;  Keijo Väänänen

  

  p. 43-57

• On a generalization of Craig lattices

  Hao Chen

  

  p. 59-70

• Integer Linear Programming applied to determining monic hyperbolic irreducible polynomials with integer coefficients and span less than 4

  Souad El Otmani ;  Armand Maul ;  Georges Rhin ;  Jean-Marc Sac-Épée

  

  p. 71-78

• Comparison theorem between Fourier transform and Fourier transform with compact support

  Christine Huyghe

  

  p. 79-97

• Multidimensional Gauss reduction theory for conjugacy classes of $\mathrm{SL}(n,\mathbb{Z})$

  Oleg Karpenkov

  

  p. 99-109

• Construction de fractions continues périodiques uniformément bornées

  Paul Mercat

  

  p. 111-146

• Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15.

  Gabriele Nebe ;  Elisabeth Nossek ;  Boris Venkov

  

  p. 147-161

• Galois extensions of height-one commuting dynamical systems

  Ghassan Sarkis ;  Joel Specter

  

  p. 163-178

• The number of solutions to the generalized Pillai equation $\pm r{a}^x\pm s{b}^y=c$.

  Reese Scott ;  Robert Styer

  

  p. 179-210

• A descent map for curves with totally degenerate semi-stable reduction

  Shahed Sharif

  

  p. 211-244

Sommaire du Fascicule no. 2

• On the limit distribution of the well-distribution measure of random binary sequences

  Christoph Aistleitner

  

  p. 245-259

• Quadratic modular symbols on Shimura curves

  Pilar Bayer ;  Iván Blanco-Chacón

  

  p. 261-283

• Lower bounds of discrete moments of the derivatives of the Riemann zeta-function on the critical line

  Thomas Christ ;  Justas Kalpokas

  

  p. 285-305

• 2-Cohomology of semi-simple simply connected group-schemes over curves defined over $p$-adic fields

  Jean-Claude Douai

  

  p. 307-316

• On the distribution of sparse sequences in prime fields and applications

  Víctor Cuauhtemoc García

  

  p. 317-329

• Goldbach’s problem with primes in arithmetic progressions and in short intervals

  Karin Halupczok

  

  p. 331-351

• Optimality of the Width-$w$ Non-adjacent Form: General Characterisation and the Case of Imaginary Quadratic Bases

  Clemens Heuberger ;  Daniel Krenn

  

  p. 353-386

• Equations for Mahler measure and isogenies

  Matilde N. Lalín

  

  p. 387-399

• The distribution of second $p$-class groups on coclass graphs

  Daniel C. Mayer

  

  p. 401-456

• On the error term of the logarithm of the lcm of a quadratic sequence

  Juanjo Rué ;  Paulius Šarka ;  Ana Zumalacárregui

  

  p. 457-470

• Ergodic Universality Theorems for the Riemann Zeta-Function and other $L$-Functions

  Jörn Steuding

  

  p. 471-476

• Trivial points on towers of curves

  Xavier Xarles

  

  p. 477-498

• Diophantine approximations with Fibonacci numbers

  Victoria Zhuravleva

  

  p. 499-520

Sommaire du Fascicule no. 3

• The $n$-th prime asymptotically

  Juan Arias de Reyna ;  Jérémy Toulisse

  

  p. 521-555

• Minimal $𝒮$-universality criteria may vary in size

  Noam D. Elkies ;  Daniel M. Kane ;  Scott Duke Kominers

  

  p. 557-563

• The factorization of $f\left(x\right)x^n+g\left(x\right)$ with $f\left(x\right)$ monic and of degree $\le 2$.

  Joshua Harrington ;  Andrew Vincent ;  Daniel White

  

  p. 565-578

• Fields of moduli of three-point $G$-covers with cyclic $p$-Sylow, II

  Andrew Obus

  

  p. 579-633

• Bicyclotomic polynomials and impossible intersections

  David Masser ;  Umberto Zannier

  

  p. 635-659

• The correspondence between Barsotti-Tate groups and Kisin modules when $p=2$

  Tong Liu

  

  p. 661-676

• Le système d’Euler de Kato

  Shanwen Wang

  

  p. 677-758

• Perfect unary forms over real quadratic fields

  Dan Yasaki

  

  p. 759-775