4 citations · 4 across the 1 of their papers we have counts for
5 papers
Cyclotomic polynomials with prescribed height and prime number theory
Alexandre Kosyak, Pieter Moree, Efthymios Sofos +1
Given any positive integer let denote the height of the cyclotomic polynomial, that is its maximum coefficient in absolute value. It is well known that…
Asymptotics of the -free diffraction measure via discretisation
Nick Rome, Efthymios Sofos
We determine the diffraction intensity of the -free integers near the origin.
The size of the primes obstructing the existence of rational points
Efthymios Sofos
The sequence of the primes for which a variety over has no -adic point plays a fundamental role in arithmetic geometry. This sequence is deterministic, however,…
The density of fibres with a rational point for a fibration over hypersurfaces of low degree
Efthymios Sofos, Erik Visse
We prove asymptotics for the proportion of fibres with a rational point in a conic bundle fibration. The basis of the fibration is a general hypersurface of low degree.
4-ranks and the general model for statistics of ray class groups of imaginary quadratic number fields
Carlo Pagano, Efthymios Sofos
We extend the Cohen-Lenstra heuristics to the setting of ray class groups of imaginary quadratic number fields, viewed as exact sequences of Galois modules. By asymptotically estim…