3 papers
math.NT2025
Counting quadratic points on Fano varieties
Francesca Balestrieri, Kevin Destagnol, Julian Lyczak +2
This paper initiates the systematic study of the number of points of bounded height on symmetric squares of weak Fano varieties. We provide a general framework for establishing the…
math.NT2025
Local solubility in generalised Châtelet varieties
Kevin Destagnol, Julian Lyczak, Efthymios Sofos
We obtain asymptotic formulas for averages of general multivariate arithmetic functions evaluated at polynomial arguments using recent work of Rydin Myerson and Rome-Yamagishi. We…
math.NT2024
Averages of arithmetic functions over polynomials in many variables
Kevin Destagnol, Efthymios Sofos
We estimate the average of any arithmetic function over the values of any smooth polynomial in many variables provided only that has a distribution in arithmetic progressio…