Non-negative Integer Solutions of Some Diophantine Equations
In this paper, it is shown that for any non-negative integers m and n, all non-negative integer solutions of the Diophantine equation 43n2x + 43y = z2m are the from (3, n, 3(43)) if m = 1 and n is even, and it has no solution in the case m 1 or n is odd. It is also shown that all non-negative integ...
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| Main Author: | |
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| Format: | บทความวารสาร |
| Language: | English |
| Published: |
Science Faculty of Chiang Mai University
2019
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| Online Access: | http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=8304 http://cmuir.cmu.ac.th/jspui/handle/6653943832/63941 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | In this paper, it is shown that for any non-negative integers m and n, all non-negative integer solutions of the Diophantine equation 43n2x + 43y = z2m are the from (3, n, 3(43)) if m = 1 and n is even, and it has no solution in the case m 1 or n is odd. It is also shown that all non-negative integer solutions of the Diophantine equation 2x + 2n43y = z2m are the following forms: |
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