UPPER BOUNDS FOR THE NUMBER OF SOLUTIONS TO QUARTIC THUE EQUATIONS

被引：2
|
作者：
Akhtari, Shabnam [1 ]
机构：
[1] Univ Montreal, CRM, Ctr Ville Stn, Montreal, PQ H3C 3J7, Canada
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2012年 / 8卷 / 02期
关键词：
Thue equations; linear forms in logarithms; ALGEBRAIC-NUMBERS; FORM;
D O I：
10.1142/S1793042112500200
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We will give upper bounds for the number of integral solutions to quartic Thue equations. Our main tool here is a logarithmic curve phi(x, y) that allows us to use the theory of linear forms in logarithms. This paper improves the results of the author's earlier work with Okazaki [The quartic Thue equations, J. Number Theory 130(1) (2010) 40-60] by giving special treatments to forms with respect to their signature.
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页码：335 / 360
页数：26
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