12 citations · 65 across the 28 of their papers we have counts for
5 papers · 1 filter
Generalised divisor sums of binary forms over number fields
Christopher Frei, Efthymios Sofos
Estimating averages of Dirichlet convolutions , for some real Dirichlet character of fixed modulus, over the sparse set of values of binary forms defined over $\mathb…
Counting rational points on quartic del Pezzo surfaces with a rational conic
T. D. Browning, E. Sofos
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over that…
Twists of Hooley's -function over number fields
E. Sofos
We prove tight estimates for averages of the twisted Hooley -function over arbitrary number fields.
Rational points of bounded height on general conic bundle surfaces
Christopher Frei, Daniel Loughran, Efthymios Sofos
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on Fano varieties. In this paper we use conic bundles to obtain correct lower bounds…
Serre's problem on the density of isotropic fibres in conic bundles
Efthymios Sofos
Let be a non-singular conic bundle over having non-split fibres and denote by the cardinality of the fibres of Weil hei…