The generalized Fermat equation in function fields

DOI10.1016/0022-314X(91)90053-EzbMath0739.11012OpenAlexW2008147755MaRDI QIDQ1179017

Enrico Bombieri, Julia Mueller

Publication date: 26 June 1992

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(91)90053-e

zbMATH Keywords

function fieldabc-conjecturegeneralized Fermat equationfamilies of solutions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Higher degree equations; Fermat's equation (11D41)

Related Items (3)

A construction of hyperbolic hypersurface of \(P^ n(C)\) ⋮ On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations ⋮ Rational limit cycles on generalized Bernouilli polynomial equations

Cites Work

• Vanishing sums in function fields
• Diagonal equations over function fields
• The Catalan Equation over Function Fields
• Remark on two theorems of Siegel
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