12 citations · 65 across the 28 of their papers we have counts for
4 papers · 1 filter
An Erdős-Kac law for local solubility in families of varieties
Daniel Loughran, Efthymios Sofos
We study probability distributions arising from local obstructions to the existence of -adic points in families of varieties. In certain cases we show that an Erdős-Kac type law…
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…
Finite saturation for unirational varieties
Efthymios Sofos, Yuchao Wang
We import ideas from geometry to settle Sarnak's saturation problem for a large class of algebraic varieties.
Averages of arithmetic functions over principal ideals
T. D. Browning, E. Sofos
For a general class of non-negative functions defined on integral ideals of number fields, upper bounds are established for their average over the values of certain principal ideal…