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On a parametric family of Thue inequalities over function fields

Published online by Cambridge University Press:  01 July 2007

CLEMENS FUCHS  and
BORKA JADRIJEVIĆ
CLEMENS FUCHS
Affiliation:
ETH Zurich, Department of Mathematics, Rämistrasse 101, 8092 Zürich, Switzerland. e-mail: clemens.fuchs@math.ethz.ch
BORKA JADRIJEVIĆ
Affiliation:
University of Split, FESB, R. Boškovića bb, 21000 Split, Croatia. University of Split, Department of Mathematics, Teslina 12, 21000 Split, Croatia. e-mail: borka@pmfst.hr
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Abstract

In this paper we completely solve a family of Thue inequalities defined over the field of functions , namely deg (X4−4cX3Y+(6c+2)X2Y2+4cXY3+Y4) ≤ deg c, where the solutions x,y come from the ring and the parameter is some non-constant polynomial.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 1 , July 2007 , pp. 9 - 23
Copyright
Copyright © Cambridge Philosophical Society 2007

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