Non-negative Integer Solutions of Some Diophantine Equations

• المؤلف الرئيسي: Somchit Chotchaisthit
• التنسيق: บทความวารสาร
• اللغة: English
• منشور في: Science Faculty of Chiang Mai University 2019
• الوصول للمادة أونلاين: http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=8304; http://cmuir.cmu.ac.th/jspui/handle/6653943832/63941

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...