3 papers
math.NT2025
Serre's problem for multiple conics
Stephanie Chan, Peter Koymans, Nick Rome
We prove the refined Loughran--Smeets conjecture of Loughran--Rome--Sofos for a wide class of varieties arising as products of conic bundles. One interesting feature of our varieti…
math.NT2024
Averages of multiplicative functions along equidistributed sequences
Stephanie Chan, Peter Koymans, Carlo Pagano +1
For a general family of non-negative functions matching upper and lower bounds are established for their average over the values of any equidistributed sequence.
math.NT2024
Almost all quadratic twists of an elliptic curve have no integral points
Tim Browning, Stephanie Chan
For a given elliptic curve E in short Weierstrass form, we show that almost all quadratic twists E_D have no integral points, as D ranges over square-free integers ordered by size.…