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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.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 <…