On the existence of solutions of a Fermat-type difference equation

DOI10.5186/aasfm.2015.4051zbMath1341.30031OpenAlexW4243245057MaRDI QIDQ3194683

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Publication date: 20 October 2015

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2015.4051

zbMATH Keywords

Nevanlinna theoryentire functionsmeromorphic functionsFermat-type equations

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Additive difference equations (39A10)

Related Items (2)

A Stothers-Mason theorem with a difference radical ⋮ Difference radical in terms of shifting zero and applications to the Stothers-Mason theorem

Cites Work

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• Entire solutions of Fermat type differential-difference equations
• Waring's problem for the ring of polynomials
• On meromorphic maps into the complex projective space
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Holomorphic curves with shift-invariant hyperplane preimages
• Finite-order meromorphic solutions and the discrete Painlevé equations
• On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions
• Some Picard Theorems for Holomorphic Maps to Algebraic Varieties
• THE STRENGTH OF CARTAN'S VERSION OF NEVANLINNA THEORY

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