A note on $p$-adic Nevanlinna theory

DOI10.1090/S0002-9939-00-05680-XzbMath1011.11050MaRDI QIDQ2701617

Min Ru

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(p\)-adic Nevanlinna theorymoving targetssecond main theorem

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Value distribution theory in higher dimensions (32H30)

Related Items (17)

Value sharing problems for differential and difference polynomials of meromorphic functions in a non-Archimedean field ⋮ A Picard-type theorem and a uniqueness theorem of non-Archimedean analytic curves in projective space ⋮ P-adic Nevanlinna theory outside of a hole ⋮ Generalized Büchi's problem for algebraic functions and meromorphic functions ⋮ Big Picard theorem for jet differentials and non-Archimedean Ax-Lindemann theorem ⋮ On some properties of ultrametric meromorphic solutions of Malmquist type ⋮ Uniqueness results for algebraic and holomorphic curves into ℙn(ℂ) ⋮ An Ahlfors Islands Theorem for non-archimedean meromorphic functions ⋮ Representation of squares by monic second degree polynomials in the field of 𝑝-adic meromorphic functions ⋮ Hensley's problem for complex and non-Archimedean meromorphic functions ⋮ Algebraic degeneracy of non-Archimedean analytic maps ⋮ Classical 𝑝-adic Nevanlinna theory and Nevalinna Theory out of a hole ⋮ On the Nevanlinna-Cartan second main theorem for non-Archimedean holomorphic curves ⋮ Non-archimedean analytic curves in the complements of hypersurface divisors ⋮ Generalizations of rigid analytic Picard theorems ⋮ On the $p$-adic Second Main Theorem ⋮ A defect relation for non-Archimedean analytic curves in arbitrary projective varieties

Cites Work

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• On p-adic meromorphic functions
• The second main theorem for moving targets
• Theorie de Nevanlinna p-adique. (p-adic Nevanlinna theory)
• Diophantine approximations and value distribution theory
• Value distribution theory of \(p\)-adic meromorphic functions
• Non-Archimedean analytic curves in Abelian varieties
• Nevanlinna theory on the p-adic plane
• Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem
• p-ADIC NEVANLINNA-CARTAN THEOREM

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