On the exponential diophantine equation \(x^ 2 = 2^{2a}k^{2m} - 2^{2a}k^{m+n} + 1\) (Q2785641)
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scientific article; zbMATH DE number 981785
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the exponential diophantine equation \(x^ 2 = 2^{2a}k^{2m} - 2^{2a}k^{m+n} + 1\) |
scientific article; zbMATH DE number 981785 |
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24 April 1997
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exponential diophantine equation
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Pell's equation
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difference sets
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0.97471166
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0.9734242
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0.9722037
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0.9659854
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0.9613504
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On the exponential diophantine equation \(x^ 2 = 2^{2a}k^{2m} - 2^{2a}k^{m+n} + 1\) (English)
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It is shown that the equation of the title, connected with some questions in combinatorial theory, has no positive integer solutions \((x,k,a,m,n)\) satisfying \(k>1\), \(2\nmid k\) and \(2n>m>n\).
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