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A uniqueness theorem of algebraically non-degenerate meromorphic maps into PN(C)

Published online by Cambridge University Press:  22 January 2016

Hirotaka Fujimoto
Hirotaka Fujimoto*
Affiliation:
Nagoya University
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In the previous paper [3], the author generalized the uniqueness theorems of meromorphic functions given by G. Pólya in [5] and R. Nevanlinna in [4] to the case of meromorphic maps of Cn into the N- dimensional complex projective space PN(C).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 64 , December 1976 , pp. 117 - 147
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1976

References

[1] Borel, E., Sur les zéros des fonctions entières, Acta Math., 20 (1897), 357–396.CrossRefGoogle Scholar
[2] Fujimoto, H., On meromorphic maps into the complex projective space, J. Math. Soc. Japan 26 (1974), 272–288.CrossRefGoogle Scholar
[3] Fujimoto, H., The uniqueness problem of meromorphic maps into the complex projective space, Nagoya Math. J., 58 (1975), 1–23.CrossRefGoogle Scholar
[4] Nevanlinna, R., Einige Eindeutigkeitssätze in der Theorie der meromorphen Funktionen, Acta Math., 48 (1926), 367–391.CrossRefGoogle Scholar
[5] Pólya, G., Bestimmung einer ganzen Funktionen endlichen Geschlechts durch viererlei Stellen, Math. Tidsskrift B, København 1921, 19–21.Google Scholar