3 papers
math.NT2021
Diophantine triples and K3 surfaces
Matija Kazalicki, Bartosz Naskręcki
A Diophantine -tuple with elements in the field is a set of non-zero (distinct) elements of with the property that the product of any two distinct elements is one le…
math.AG2019
Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell--Yan scattering
Marco Besier, Dino Festi, Michael Harrison +1
We study a K3 surface, which appears in the two-loop mixed electroweak-quantum chromodynamic virtual corrections to Drell--Yan scattering. A detailed analysis of the geometric Pica…
math.NT2019
Primitive divisors of elliptic divisibility sequences over function fields with constant j-invariant
Bartosz Naskręcki, Marco Streng
We prove an optimal Zsigmondy bound for elliptic divisibility sequences over function fields in case the -invariant of the elliptic curve is constant. In more detail, given an e…