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The special result here obtained is included under a general rule stated in Chapter X of the writer's book on the algebraic functions: Theory of the Algebraic Functions of a Complex Variable. Berlin, Mayer and Müller, 1906.
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Fields, J.C. Relations between the branch points and the double points of an algebraic curve. Math. Ann. 73, 560–570 (1913). https://doi.org/10.1007/BF01455956
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DOI: https://doi.org/10.1007/BF01455956