Nevanlinna Theory and Its Relation to Diophantine Approximation

By M. Ru. 2001

282 citations recorded by the source corpus.

Nevanlinna Theory for Meromorphic Functions and Roth's Theorem Holomorphic Curves into Compact Riemann Surfaces and Theorems of Siegel, Roth, and Faltings Holomorphic Curves in Pn(C) and Schmidt's Sub-Space Theorem The Moving Target Problems Equi-Dimensional Nevanlinna Theory and Vojta's Conjecture Holomorphic Curves in Abelian Varieties and the Theorem of Faltings Complex Hyperbolic Manifolds and Lang's Conjecture.

Subfields: Applied Mathematics, Education

View Paper: https://www.semanticscholar.org/paper/4fc1c27f9501148ec4b3da910582616af96f61c7

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In Applied Mathematics

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4. Zong-Xuan Chen
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Citations in the corpus

• A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables (2016, background): “By the definition of the characteristic function, one can deduce (or by [20, 21]), for i 6= j T (f,Hi) (f,Hj) (r) ≤ Tf(r) +O(1), and thus ζ2( (f,Hi) (f,Hj) ) ≤ ζ2(f) := ζ < 1.”
• Holomorphic curves with shift-invariant hyperplane preimages (2009, unknown): “…solutions of the equation are trivial solutions of the form where S k , k = 1 , . . . , l , is the partition of { 0 , . . . (cid:9) , n } formed so that i and j are in S k if and only if h i /h j ∈ C , and i ∈ S k c i,j k = 0 for all k = 1 , . . . , l (see, e.g. [32, p. 186] or [36, p. 124]).”