Some classes of Diophantine equations connected with McFarland's and Ma's conjectures (Q2717943)
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scientific article; zbMATH DE number 1606093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some classes of Diophantine equations connected with McFarland's and Ma's conjectures |
scientific article; zbMATH DE number 1606093 |
Statements
19 February 2002
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Pell's equations
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difference sets
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Some classes of Diophantine equations connected with McFarland's and Ma's conjectures (English)
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In connection with some conjectures on difference sets, the authors consider some types of Diophantine equations, e.g. NEWLINE\[NEWLINE x^2=2^{2a}k_1^{2t_1}\ldots k_s^{2t_s}y^2- 2^{a+b}k_1^{t_1+r_1}\ldots k_s^{t_s+r_s}\delta+1 NEWLINE\]NEWLINE where \(a,b,k_i,t_i,r_i\) are natural numbers, \(\delta\in\{-1,1\}\). Using Pellian equations, all solutions \(x,y\) are described.
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