Weierstrass Multiplicative Points on a Compact Riemann Surface |
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Authors: | Chueshev V V Yakubov E Kh |
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Institution: | (1) Kemerovo State University, Russia;(2) Holon Academic Institute of Technology, Israel |
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Abstract: | We introduce Weierstrass multiplicative points and develop the theory of Weierstrass multiplicative points for multiplicative meromorphic functions and Prym differentials on a compact Riemann surface. We prove some analogs of the Weierstrass and Noether theorems on the gaps of multiplicative functions. We obtain two-sided estimates for the number of Weierstrass multiplicative points and q-points. We propose a method for studying the Weierstrass and Noether gaps and Weierstrass multiplicative points by means of filtrations in the Jacobi variety of a compact Riemann surface. |
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Keywords: | Weierstrass multiplicative point compact Riemann surface Jacobi variety |
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