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- W4378716627 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 except when b is two special types of odd number. (2) When x is an odd number and b≡±3(mod8), the Diophantine equation (2x−1)(by−1)=2z2 has no positive integer solution except where b=3 and is another special type of the odd number." @default.
- W4378716627 created "2023-05-30" @default.
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- W4378716627 date "2023-05-29" @default.
- W4378716627 modified "2023-09-27" @default.
- W4378716627 title "Research on the Number of Solutions to a Special Type of Diophantine Equation (ax−1)(by−1) = 2z2" @default.
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- W4378716627 doi "https://doi.org/10.3390/math11112497" @default.
- W4378716627 hasPublicationYear "2023" @default.
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