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Non-negative Integer Solutions of Some Diophantine Equations
Paper Type  |
Contributed Paper |
Title |
Non-negative Integer Solutions of Some Diophantine Equations |
Author |
Somchit Chotchaisthit |
Email |
somchit@kku.ac.th |
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Abstract: 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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Start & End Page |
1163 - 1171 |
Received Date |
2014-09-08 |
Revised Date |
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Accepted Date |
2015-04-06 |
Full Text |
Download |
Keyword |
Exponential Diphantine equation |
Volume |
Vol.44 No.3 (July 2017) |
DOI |
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Citation |
Chotchaisthit S., Non-negative Integer Solutions of Some Diophantine Equations, Chiang Mai Journal of Science, 2017; 44(3): 1163-1171. |
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