Table of contents

ℓ-torsion in class groups of certain families of D 4 -quartic fields
Reduction of certain crystalline representations and local constancy in the weight space
The endomorphism ring of projectives and the Bernstein centre
Root number of twists of an elliptic curve
The distribution of sums and products of additive functions
On the p-adic Langlands correspondence for algebraic tori
Numerical verification of the Cohen–Lenstra–Martinet heuristics and of Greenberg’s p-rationality conjecture
Linear relations with conjugates of a Salem number
On Tate’s conjecture for the elliptic modular surface of level N over a prime field of characteristic 1modN
Ramanujan–Bernoulli numbers as moments of Racah polynomials
Partial sums of the cotangent function
Bounds of the rank of the Mordell–Weil group of Jacobians of Hyperelliptic Curves
On finiteness of odd superperfect numbers
A step beyond Freiman’s theorem for set addition modulo a prime
Fields of definition of rational curves of a given degree