On algebraic approximations of certain algebraic numbers |
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| Authors: | Pingzhi Yuan |
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| Affiliation: | Department of Mathematics, Zhongshan (Sun Yat-Sen) University, Guangzhou Province, Guangzhou 510275, People's Republic of China |
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| Abstract: | Using hypergeometric functions and the Thue-Siegel method we give an effective improvement of Liouville's approximation theorem. As an application, we derive effective upper bounds for the solutions (X,Y) of the two-parametric family of quartic Thue inequalities |BX4−AX3Y−6BX2Y2+AXY3+BY4|?N |
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| Keywords: | 11D25 11J86 |
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