Research on the Number of Solutions to a Special Type of Diophantine Equation (ax−1)(by−1) = 2z2
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DOI: 10.3390/math11112497
Abstract: Let b be an odd number. By using elementary methods, we prove that: (1) When x is an odd number and y is an even number, the Diophantine equation (2x−1)(by−1)=2z2 has no positive integer solution… read more here.
Keywords: diophantine equation; number; special type; odd number ... See more keywords