W(δ) Weierstrass points

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The aim of this article is to generalize a notion of Weierstrass points. For any divisor δ we introduce W(δ) Weierstrass points and M(1/δ) Weierstrass points, and we estimate the numbers of these points. A W(1) Weierstrass point is a Weierstrass point in the ordinary sense, and a M(1/δ) Weierstrass point corresponds to a D Weierstrass point defined by means of H^0(C, (Ω^1)^<〓r(r-1)/2> (rD) in the algebraic geometry [2].

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