Sommaire du Fascicule no. 1

• Waring’s problem for Beatty sequences and a local to global principle

  William D. Banks ; Ahmet M. Güloğlu ; Robert C. Vaughan

  

  p. 1-16

• On a conjecture of Dekking : The sum of digits of even numbers

  Iurie Boreico ; Daniel El-Baz ; Thomas Stoll

  

  p. 17-24

• Contre-exemples au principe de Hasse pour certains tores coflasques

  Régis de la Bretèche ; Tim Browning

  

  p. 25-44

• Une étude asymptotique probabiliste des coefficients d’une série entière

  Bernard Candelpergher ; Michel Miniconi

  

  p. 45-67

• Groupe de Brauer non ramifié d’espaces homogènes de tores

  Jean-Louis Colliot-Thélène

  

  p. 69-83

• Delaunay polytopes derived from the Leech lattice

  Mathieu Dutour Sikirić ; Konstantin Rybnikov

  

  p. 85-101

• On the heights of totally $p$-adic numbers

  Paul Fili

  

  p. 103-109

• Self-intersection of the relative dualizing sheaf on modular curves $X_1\left(N\right)$

  Hartwig Mayer

  

  p. 111-161

• Sekiguchi-Suwa theory revisited

  Ariane Mézard ; Matthieu Romagny ; Dajano Tossici

  

  p. 163-200

• A characterization of Eisenstein polynomials generating extensions of degree $p^2$ and cyclic of degree $p^3$ over an unramified $𝔭$-adic field

  Maurizio Monge

  

  p. 201-231

• Hecke operators in half-integral weight

  Soma Purkait

  

  p. 233-251

• Variations on a question concerning the degrees of divisors of $x^n-1$

  Lola Thompson

  

  p. 253-267

Sommaire du Fascicule no. 2

• Modular lattices from finite projective planes

  Tathagata Basak

  

  p. 269-279

• Loi de répartition moyenne des diviseurs des entiers friables

  Joseph Basquin

  

  p. 281-305

• A two-dimensional continued fraction algorithm with Lagrange and Dirichlet properties

  Christian Drouin

  

  p. 307-346

• Newton’s method over global height fields

  Xander Faber ; Adam Towsley

  

  p. 347-362

• Diophantine approximation in Banach spaces

  Lior Fishman ; David Simmons ; Mariusz Urbański

  

  p. 363-384

• A note on the weighted Khintchine-Groshev Theorem

  Mumtaz Hussain ; Tatiana Yusupova

  

  p. 385-397

• On a system of equations with primes

  Paolo Leonetti ; Salvatore Tringali

  

  p. 399-413

• Principalization algorithm via class group structure

  Daniel C. Mayer

  

  p. 415-464

• Asymptotic values of modular multiplicities for ${GL}_2$

  Sandra Rozensztajn

  

  p. 465-482

• Bihomogeneous forms in many variables

  Damaris Schindler

  

  p. 483-506

• An effective proof of the hyperelliptic Shafarevich conjecture

  Rafael von Känel

  

  p. 507-530

• An explicit computation of $p$-stabilized vectors

  Michitaka MIYAUCHI ; Takuya YAMAUCHI

  

  p. 531-558

Sommaire du Fascicule no. 3

• Bounding hyperbolic and spherical coefficients of Maass forms

  Valentin Blomer ; Farrell Brumley ; Alex Kontorovich ; Nicolas Templier

  

  p. 559-578

• Elements of large order on varieties over prime finite fields

  Mei-Chu Chang ; Bryce Kerr ; Igor E. Shparlinski ; Umberto Zannier

  

  p. 579-593

• Beyond two criteria for supersingularity: coefficients of division polynomials

  Christophe Debry

  

  p. 595-605

• Discriminants of Chebyshev radical extensions

  T. Alden Gassert

  

  p. 607-633

• On the structure of the Galois group of the Abelian closure of a number field

  Georges Gras

  

  p. 635-654

• On the compositum of all degree $d$ extensions of a number field

  Itamar Gal ; Robert Grizzard

  

  p. 655-672

• Iwasawa theory for symmetric powers of CM modular forms at non-ordinary primes

  Robert Harron ; Antonio Lei

  

  p. 673-707

• Modular symbols, Eisenstein series, and congruences

  Jay Heumann ; Vinayak Vatsal

  

  p. 709-756

• A local large sieve inequality for cusp forms

  Jonathan Wing Chung Lam

  

  p. 757-787

• Points algébriques de hauteur bornée sur la droite projective

  Cécile Le Rudulier

  

  p. 789-812

• Global minimal models for endomorphisms of projective space

  Clayton Petsche ; Brian Stout

  

  p. 813-823