3 papers
math.NT2026
Sharp zero estimates for trajectories of polynomial vector fields
Gal Binyamini, Yuval Salant
If is a tuple of functions satisfying an algebraic ODE and , it is common in applications to transcendental number theory to consider upper bounds for th…
math.CA2026
Establishing the Polynomial Wolff Axioms for -Separated -Tubes With #o-minimality
Gal Binyamini, Yuval Salant
We establish the full version of a conjecture of Guth and Zahl, giving a lower bound for the volume of a semialgebraic set that has a large intersection with a collection of -se…
math.NT2026
Counting Theorems for Algebraic Relations
Gal Binyamini, Noriko Hirata-Kohno, Makoto Kawashima +1
Let X be a set definable in a sharply o-minimal structure. We consider the problem of counting the number of points where X intersects algebraic varieties V over Q of dimension k <…