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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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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th-cmuir.6653943832-639412019-05-07T09:59:39Z Non-negative Integer Solutions of Some Diophantine Equations Somchit Chotchaisthit 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: 2019-05-07T09:59:39Z 2019-05-07T09:59:39Z 2017 บทความวารสาร 0125-2526 http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=8304 http://cmuir.cmu.ac.th/jspui/handle/6653943832/63941 Eng Science Faculty of Chiang Mai University |
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Chiang Mai University Library |
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Thailand |
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CMU Intellectual Repository |
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English |
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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: |
| format |
บทความวารสาร |
| author |
Somchit Chotchaisthit |
| spellingShingle |
Somchit Chotchaisthit Non-negative Integer Solutions of Some Diophantine Equations |
| author_facet |
Somchit Chotchaisthit |
| author_sort |
Somchit Chotchaisthit |
| title |
Non-negative Integer Solutions of Some Diophantine Equations |
| title_short |
Non-negative Integer Solutions of Some Diophantine Equations |
| title_full |
Non-negative Integer Solutions of Some Diophantine Equations |
| title_fullStr |
Non-negative Integer Solutions of Some Diophantine Equations |
| title_full_unstemmed |
Non-negative Integer Solutions of Some Diophantine Equations |
| title_sort |
non-negative integer solutions of some diophantine equations |
| publisher |
Science Faculty of Chiang Mai University |
| publishDate |
2019 |
| url |
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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1681425988955668480 |