Titlebook: Introduction to Complex Hyperbolic Spaces; Serge Lang Book 1987 Springer Science+Business Media New York 1987 Diophantine approximation.Fi

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Basic Properties,rem for families of such maps. Such an application has wide ramifications, including possible applications to problems associated with Mordell’s conjecture (Faltings’ theorem) and possible generalizations.

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https://doi.org/10.1007/978-1-4757-1945-1Diophantine approximation; Finite; Nevanlinna theory; approximation; boundary element method; complex num

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Hyperbolic Imbeddings,This chapter and the next chapter on Brody’s theorem are essentially logically independent. The reader interested in Brody’s theorem should skip this chapter at first, and come back to it only as needed to get the extra information that under certain circumstances imbeddings are hyperbolic.

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Nevanlinna Theory,In classical estimates of orders of growth of an entire function, one uses the measure of growth given by

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Applications to Holomorphic Curves in ,,,In this chapter we start with Borel’s theorem of 1897, concerning linear relations between entire functions without zeros. Its proof depends only on a very easy and brief application of Jensen’s formula via Lemmas 3.2 and 3.7, and could consequently be done in standard basic courses in complex variables.