ON MEROMORPHIC SOLUTIONS OF GENERALIZED FERMAT EQUATIONS

DOI10.1142/S0129167X14500025zbMath1288.32005MaRDI QIDQ5409852

Bao Qin Li

Publication date: 15 April 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

meromorphic solutionFermat equation

Mathematics Subject Classification ID

Meromorphic functions of several complex variables (32A20)

Related Items (7)

On meromorphic solutions of the Fermat-type functional equation \(f(z)^n+f(z+c)^m=e^{\alpha z+\beta}\) ⋮ On generalized Fermat Diophantine functional and partial differential equations in \(\mathbf{C}^2\) ⋮ On certain Fermat Diophantine functional equations in \(\mathbb{C}^2\) ⋮ On Fermat Diophantine functional equations, little Picard theorem and beyond ⋮ On certain functional and partial differential equations. II ⋮ Existence of meromorphic solutions of some generalized Fermat functional equations ⋮ Entire solutions of a variation of the eikonal equation and related PDEs

Cites Work

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• On meromorphic solutions of \(f^{2} + g^{2} = 1\)
• On Fermat-Type Functional and Partial Differential Equations
• A logarithmic derivative lemma in several complex variables and its applications
• Some Picard Theorems for Holomorphic Maps to Algebraic Varieties
• Entire solutions of first-order nonlinear partial differential equations
• ON ENTIRE SOLUTIONS OF FERMAT TYPE PARTIAL DIFFERENTIAL EQUATIONS
• THE STRENGTH OF CARTAN'S VERSION OF NEVANLINNA THEORY
• A Note on Entire Solutions of the Eiconal Equation
• On entire solutions of a family of nonlinear partial differential equations of prime degree
• On the equation 𝑓ⁿ+𝑔ⁿ=1

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