Volume 32 (2020) 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