Dill, Gabriel A.. (2017) Effective approximation and Diophantine applications. Acta Arithmetica, 177. pp. 169199.
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Official URL: http://edoc.unibas.ch/53777/
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Abstract
Using the Thue–Siegel method, we obtain effective improvements on Liouville’s irrationality measure for certain oneparameter families of algebraic numbers, defined by equations of the type $(t  a)Q(t) + P(t) = 0$. We apply these to some corresponding Diophantine equations. We obtain bounds for the size of solutions, which depend polynomially on $a$, and bounds for the number of these solutions, which are independent of $a$ and in some cases even independent of the degree of the equation.
Faculties and Departments:  05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger) 

UniBasel Contributors:  Dill, Gabriel 
Item Type:  Article, refereed 
Article Subtype:  Research Article 
Publisher:  Institute of Mathematics, Polish Academy of Sciences 
ISSN:  00651036 
eISSN:  17306264 
Note:  Publication type according to Uni Basel Research Database: Journal article 
Identification Number: 

Last Modified:  13 Oct 2017 09:54 
Deposited On:  13 Oct 2017 09:54 
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