论文信息 - Integer points on the dilation of a subanalytic surface

Integer points on the dilation of a subanalytic surface

Let � ⊂ R n be a compact subanalytic set of dimension 2 and t 1. This paper gives an upper bound as t →∞ for the number of integer points on the homothetic dilation tofthat do not reside on any connected semialgebraic subset of tof positive dimension. Implications for the density of rational points onare also elaborated.

Jonathan Pila | J. Pila

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