Issue no. 1 Table of Contents

ℓ-torsion in class groups of certain families of D 4 -quartic fields
Chen An
p. 1-23
Reduction of certain crystalline representations and local constancy in the weight space
Shalini Bhattacharya
p. 25-47
The endomorphism ring of projectives and the Bernstein centre
Alexandre Pyvovarov
p. 49-71
Root number of twists of an elliptic curve
Julie Desjardins
p. 73-101
The distribution of sums and products of additive functions
Greg Martin; Lee Troupe
p. 103-131
On the p-adic Langlands correspondence for algebraic tori
Christopher Birkbeck
p. 133-158
Numerical verification of the Cohen–Lenstra–Martinet heuristics and of Greenberg’s p-rationality conjecture
Razvan Barbulescu; Jishnu Ray
p. 159-177
Linear relations with conjugates of a Salem number
Artūras Dubickas; Jonas Jankauskas
p. 179-191
On Tate’s conjecture for the elliptic modular surface of level N over a prime field of characteristic 1modN
Rémi Lodh
p. 193-204
Ramanujan–Bernoulli numbers as moments of Racah polynomials
Frédéric Chapoton
p. 205-215
Partial sums of the cotangent function
Sandro Bettin; Sary Drappeau
p. 217-230
Bounds of the rank of the Mordell–Weil group of Jacobians of Hyperelliptic Curves
Harris B. Daniels; Álvaro Lozano-Robledo; Erik Wallace
p. 231-258
On finiteness of odd superperfect numbers
Tomohiro Yamada
p. 259-274
A step beyond Freiman’s theorem for set addition modulo a prime
Pablo Candela; Oriol Serra; Christoph Spiegel
p. 275-289
Fields of definition of rational curves of a given degree
David Holmes; Nick Rome
p. 291-310

Issue no. 2 Table of Contents

Computation of étale cohomology on curves in single exponential time
Jinbi Jin
p. 311-354
Schmid’s Formula for Higher Local Fields
Matthew Schmidt
p. 355-371
A note on Misiurewicz polynomials
Vefa Goksel
p. 373-385
A transference principle for simultaneous rational approximation
Ngoc Ai Van Nguyen; Anthony Poëls; Damien Roy
p. 387-402
Multiple zeta functions and polylogarithms over global function fields
Debmalya Basak; Nicolas Degré-Pelletier; Matilde N. Lalín
p. 403-438
Multipliers and invariants of endomorphisms of projective space in dimension greater than 1
Benjamin Hutz
p. 439-469
Points rationnels dans leur fibre : compléments à un théorème de Poonen
Laurent Moret-Bailly
p. 471-488
On small discriminants of number fields of degree 8 and 9
Francesco Battistoni
p. 489-501
The Minkowski chain and Diophantine approximation
Nickolas Andersen; William Duke
p. 503-523
The Chevalley–Gras formula over global fields
Jianing Li; Chia-Fu Yu
p. 525-543
The characteristic masses of Niemeier lattices
Gaëtan Chenevier
p. 545-583
The upper density of an automatic set is rational
Jason P. Bell
p. 585-604
Réalisations galoisiennes explicites de certaines familles de 2-groupes
Angelot Behajaina
p. 605-630

Issue no. 3 Table of Contents

Cohen–Lenstra Moments for Some Nonabelian Groups
Brandon Alberts
p. 631-664
Petersson norms of Eisenstein series and Kohnen–Zagier’s formula
Yoshinori Mizuno
p. 665-684
On Selberg’s Central Limit Theorem for Dirichlet L-functions
Po-Han Hsu; Peng-Jie Wong
p. 685-710
An introduction to oddly tame number fields.
Guillermo Mantilla-Soler
p. 711-717
On the distribution of αp modulo one in imaginary quadratic number fields with class number one
Stephan Baier; Marc Technau
p. 719-760
On Short Sums Involving Fourier Coefficients of Maass Forms
Jesse Jääsaari
p. 761-793
Symboles modulaires et produit de Petersson
Dominique Bernardi; Bernadette Perrin-Riou
p. 795-859
Twists of the Albanese varieties of cyclic multiple planes with large ranks over higher dimension function fields
Sajad Salami
p. 861-876
Quartic Salem numbers which are Mahler measures of non-reciprocal 2-Pisot numbers
Toufik Zaïmi
p. 877-889
An improved bound on the least common multiple of polynomial sequences
Ashwin Sah
p. 891-899
Greenberg algebras and ramified Witt vectors
Alessandra Bertapelle; Maurizio Candilera
p. 901-921
Rational Equivalences on Products of Elliptic Curves in a Family
Jonathan Love
p. 923-938