Bikchantaev, I. A. The Clifford theorem for quasirational functions. (English. Russian original) Zbl 0995.30027 Russ. Math. 43, No. 4, 7-11 (1999); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1999, No. 4, 9-13 (1999). Es wird folgende Verallgemeinerung des klassischen Cliffordschen Theorems bewiesen: Sei \(R\) eine parabolische Riemannsche Fläche vom Genus \(h \leq \infty\) und sei \(D\) ein Divisor auf \(R\) mit \(0\leq\text{ord} D\leq 2h-1\). Sei \(\ell\) die Dimension des Raumes aller quasirationaler Funktionen, multipel zu \(1/D\). Dann gilt \(\ell\leq [\text{ord} D/2]+1\). Reviewer: Rudolf Heersink (Graz) MSC: 30F10 Compact Riemann surfaces and uniformization Keywords:Clifford theorem PDFBibTeX XML Full Text: DOI References: [1] L. I. Chibrikova, ”Boundary-Value Problems of the Theory of Analytic Functions on Riemann Surfaces,” in Itogi Nauki i Tekhniki. Matem. Analiz (VINITI, 1980), Vol. 18, pp. 3–66. [2] E.I. Zverovich, ”Boundary-Value Problems in the Theory of Analytic Functions in Hölder Classes on Riemann Surfaces,” Usp. Mat. Nauk 26(1), 113–179 (1971). · Zbl 0217.10201 [3] I. A. Bikchantaev, ”Riemann Problem on a Finite-Sheeted Riemann Surface of Infinite Genus,” Matem. Zametki 67(1), 25–35 (2000). · Zbl 0970.30024 [4] A. P. Soldatov, One-Dimensional Singular Operators and Boundary-Value Problems of Function. Theory (Vysshaya Shkola, Moscow, 1991 ) [in Russian]. [5] L. Sario and M. Nakai, Classification Theory of Open Riemann Surfaces (Springer-Verlag, Berlin-Heidelberg-New York, 1970). · Zbl 0199.40603 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.