The truncated second main theorem of function fields
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Publication:1914035
DOI10.1006/jnth.1996.0071zbMath0866.11066OpenAlexW1994279759MaRDI QIDQ1914035
Publication date: 9 July 1996
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.1996.0071
function fields\(abc\) conjectureCartan's conjectureCartan's second main theoremtruncated counting functions
Arithmetic theory of algebraic function fields (11R58) Diophantine inequalities (11J25) Diophantine equations in many variables (11D72) Approximation in non-Archimedean valuations (11J61)
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On Griffiths–Lang's conjecture and related topics ⋮ Vanishing Polynomial Sums ⋮ The ABC theorem for higher-dimensional function fields ⋮ An effective Roth's theorem for function fields ⋮ Integral orbits over function fields ⋮ Integral points of projective spaces omitting hyperplanes over function fields of positive characteristic ⋮ Integral points off hyperplanes in positive characteristic ⋮ Generalized Büchi's problem for algebraic functions and meromorphic functions ⋮ 𝑆-integral points of ℙⁿ-{2𝕟+1 hyperplanes in general position over number fields and function fields} ⋮ Definability of Frobenius orbits and a result on rational distance sets ⋮ Two generalized \(abc\) theorems for \(\mathbb F_q[t\)] ⋮ On the exponential local-global principle for meromorphic functions and algebraic functions ⋮ The second main theorem of holomorphic curves into projective spaces ⋮ Very free rational curves in Fano varieties
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