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 (N)
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