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Anmerkung der Redaktion. Eine revidierte und erweiterte Fassung dieser Arbeit ging am 6. 4. 1967 ein.
This paper was written whilst the author was at the University of Durham.
I am grateful to Dr.Kiyek for his valuable criticisms and comments on an earlier version of this paper. In particular, my original proof of Theorem 2 applied only to separable extensions with tame ramification at infinity. Dr.Kiyek suggested the much more general version given here, which gives the Riemann-Roch Theorem for arbitrary function fields.
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Armitage, J.V. Algebraic functions and an analogue of the geometry of numbers: The Riemann-Roch Theorem. Arch. Math 18, 383–393 (1967). https://doi.org/10.1007/BF01898830
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DOI: https://doi.org/10.1007/BF01898830