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Bézout bounds and rational points on quasianalytic graphs
For functions $f : [0,1] \to [0,1]$ in quasianalytic Denjoy-Carleman classes $\mathcal C_M$, we establish explicit bounds for the number of intersection points of the graph $Γ(f)$ with algebraic curves of degree at most $d$. The bounds are given in terms of the Bang degree determined by the weight s
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