12 citations · 65 across the 28 of their papers we have counts for
4 papers · 1 filter
Statistics of small prime quadratic non-residues
Efthymios Sofos
We prove that the average of the -th smallest prime quadratic non-residue modulo a prime approximates the -th smallest prime.
Generic diagonal conic bundles revisited
Alexei N. Skorobogatov, Efthymios Sofos
We prove a stronger form of our previous result that Schinzel's Hypothesis holds for of -tuples of integer polynomials satisfying the usual necessary conditions, where t…
Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1
Tim Browning, Efthymios Sofos, Joni Teräväinen
With probability 1, we assess the average behaviour of various arithmetic functions at the values of degree d polynomials f that are ordered by height. This allows us to establish…
The leading constant for rational points in families
Daniel Loughran, Nick Rome, Efthymios Sofos
We prove asymptotics for Serre's problem on the number of diagonal planar conics with a rational point and use this to put forward a new conjecture on counting the number of variet…