Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem

DOI10.1090/S0002-9947-97-01874-6zbMath0959.32029OpenAlexW1541452868MaRDI QIDQ4372614

William Cherry, Zhuan Ye

Publication date: 16 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01874-6

zbMATH Keywords

inverse problem\(p\)-adicdefect relationsnon-Archimedean Nevanlinna theory

Mathematics Subject Classification ID

Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Value distribution theory in higher dimensions (32H30) Non-Archimedean analysis (32P05)

Related Items

A Picard-type theorem and a uniqueness theorem of non-Archimedean analytic curves in projective space, Hayman conjecture for \(p\)-adic meromorphic functions in several variables, An Ahlfors Islands Theorem for non-archimedean meromorphic functions, A note on $p$-adic Nevanlinna theory, Representation of squares by monic second degree polynomials in the field of 𝑝-adic meromorphic functions, A note on the uniqueness problem of non-Archimedean holomorphic curves, Generalization of uniqueness theorems for nonarchimedean holomorphic curves, Meromorphic solutions of equations over non-Archimedean fields, On uniqueness polynomials and bi-URS for \(p\)-adic meromorphic functions, On the Nevanlinna-Cartan second main theorem for non-Archimedean holomorphic curves, On the $p$-adic Second Main Theorem, A defect relation for non-Archimedean analytic curves in arbitrary projective varieties

Cites Work

• On p-adic meromorphic functions
• Theorie de Nevanlinna p-adique. (p-adic Nevanlinna theory)
• Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better
• Diophantine approximations and value distribution theory
• Topics in Nevanlinna theory
• On Nevanlinna's error terms
• Applications of \(p\)-adic Nevanlinna theory
• The inverse problem of the Nevanlinna theory
• The lemma of the logarithmic derivative in several complex variables
• Non-Archimedean analytic curves in Abelian varieties
• On Nevanlinna's second main theorem in projective space
• Non-Archimedian analytic functions taking the same values at the same points
• A defect relation for equidimensional holomorphic mappings between algebraic varieties
• Nevanlinna theory and holomorphic mappings between algebraic varieties
• Zur Theorie der gebrochenen Funktionen mehrerer Veränderlicher
• On the Second Main Theorem of Nevanlinna Theory
• Nevanlinna theory on the p-adic plane
• Second Main Theorem of Nevalinna Theory for Nonequidimensional Meromorphic Maps
• p-ADIC NEVANLINNA-CARTAN THEOREM
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