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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 elliptic curves with prescribed torsion have Szpiro ratio close to the expected value
Stephanie Chan
We demonstrate that almost all elliptic curves over with prescribed torsion subgroup, when ordered by naive height, have Szpiro ratio arbitrarily close to the expected…