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Nevanlinna Theory and Its Relation to Diophantine Approximation
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Theorem of Faltings complex Hyperbolic Manifolds and Lang's Conjecture as mentioned in this paper is related to the moving target problems in the context of meromorphic functions.Abstract:
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.read more
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Greatest common divisors with moving targets and consequences for linear recurrence sequences
Nathan Grieve,Julie Wang +1 more
TL;DR: In this paper, it was shown that the logarithmic greatest common divisor of moving multivariable polynomials evaluated at moving $S$-unit arguments is bounded.
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A note on Hayman's conjecture
TL;DR: In this paper, the authors gave suitable conditions on differential polynomials such that they take every finite non-zero value infinitely often, where $f$ is a meromorphic function in complex plane.
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A survey to Nevanlinna-type theory based on heat diffusion
TL;DR: In this article, a survey of Nevanlinna-type theory of holomorphic mappings from a complete and stochastically complete Kahler manifold into compact complex manifolds with a positive line bundle is presented.
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Subspace theorem for moving hypersurfaces and semi-decomposable form inequalities
TL;DR: In this paper, a Schmidt's subspace type theorem for moving hypersurfaces is given, and finiteness criteria for the solutions of the sequence of semi-decomposable form equations and inequalities are given.
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Value distribution for the Gauss maps of various classes of surfaces
TL;DR: A survey of recent results in value distribution theory for the Gauss maps of several classes of immersed surfaces in space forms, for example, minimal surfaces in Euclidean $n$-space ($n$=3 or 4), improper affine spheres in the affine 3-space and flat surfaces in hyperbolic 3space can be found in this article.