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 Remarks on the gap set of $R=\mathcal{K}+C$ Bull. Korean Math. Soc. 2010 Vol. 47, No. 2, 433-442 https://doi.org/10.4134/BKMS.2010.47.2.433Printed March 1, 2010 Nesrin Tuta{\c{s}} Akdeniz University Abstract : {$\tilde{G}(P,Q)$}, a new generalization of the set of gap numbers of a pair of points, was described in [1]. Here we study gap numbers of local subring $R=\mathcal{K}+C$ of algebraic function field over a finite field and we give a formula for the number of elements of {$\tilde{G}(P,Q)$} depending on pure gaps and {$R$}. Keywords : Weierstrass points, gap numbers MSC numbers : 14H55, 14G50 Downloads: Full-text PDF