Remarks on the gap set of $R=\mathcal{K}+C$
Bull. Korean Math. Soc. 2010 Vol. 47, No. 2, 433-442
Printed 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
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