Cobeli, Cristian; Zaharescu, Alexandru A question of the distribution of points on a curve over a finite field. (English) Zbl 1096.11501 Acta Univ. Apulensis, Math. Inform. 4, 65-76 (2002). Summary: Let \(C\) be an affine curve in the affine space \(A^r(\overline{\mathbb F}_p)\) that is not contained in any hyperplane. We show that there exists a probability that measures the set of points \(x\in C\) satisfying given size restrictions for the spacings between neighbour components. MSC: 11G20 Curves over finite and local fields 11L05 Gauss and Kloosterman sums; generalizations Keywords:finite fields; distribution of points on a curve; affine space PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, Acta Univ. Apulensis, Math. Inform. 4, 65--76 (2002; Zbl 1096.11501) Full Text: EuDML