Title of article
On algebraic approximations of certain algebraic numbers
Author/Authors
Pingzhi Yuan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
10
From page
1
To page
10
Abstract
Using hypergeometric functions and the Thue–Siegel method we give an effective improvement of Liouvilleʹs approximation theorem. As an application, we derive effective upper bounds for the solutions (X,Y) of the two-parametric family of quartic Thue inequalitiesBX4−AX3Y−6BX2Y2+AXY3+BY4 Nfor A 58B3 or A 308B4.
Keywords
Effective algebraic approximations , Quartic equations , Imaginary quadratic fields
Journal title
Journal of Number Theory
Serial Year
2003
Journal title
Journal of Number Theory
Record number
715494
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