A note on the Thue inequality
A note on the Thue inequality
We show that for an arbitrary binary form <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper F left-parenthesis upper X comma upper Y right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>F</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>X</mml:mi> <mml:mo>,</mml:mo> <mml:mi>Y</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">F(X,Y)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, there is no non-trivial lower bound for the area of the region <inline-formula …