2 papers
math.NT2024
Solubility of a resultant equation and applications
Tim Browning, Stephanie Chan
The large sieve is used to estimate the density of integral quadratic polynomials , such that there exists an odd degree integral polynomial which has resultant with …
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.…