HEIGHTS OF FUNCTION FIELD POINTS ON CURVES GIVEN BY EQUATIONS WITH SEPARATED VARIABLES
Keyword(s):
Let P and Q be polynomials in one variable over an algebraically closed field k of characteristic zero. Let f and g be elements of a function field K over k such that P(f) = Q(g). We give conditions on P and Q such that the height of f and g can be effectively bounded, and moreover, we give sufficient conditions on P and Q under which f and g must be constant.
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1959 ◽
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pp. 11-15
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