Polynomial solutions of \(F(x,y)=z^n\). (English) Zbl 0454.10010

Schmidt, Wolfgang M.

Proc. Queen’s Number Theory Conf. 1979, Queen’s Pap. Pure Appl. Math. 54, 33-65 (1980).

Summary:

Reviewer: Wolfgang M. Schmidt

MSC:

11D88	\(p\)-adic and power series fields
11D41	Higher degree equations; Fermat’s equation
11J61	Approximation in non-Archimedean valuations
14G25	Global ground fields in algebraic geometry

Keywords:

diophantine equations; analogue of Thue equation; polynomial ring; diophantine approximation in fields of series; rational function solutions; first order algebraic differential equations