Article
On The Diophantine Equation $(pq - 1)^x + pq^y = z^2$
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Abstract
We find non-negative integer solutions of the title equation, where p is a prime and q > 1 is an integer.
Keywords
Diophantine equation
Citation
Hoque, A. & Kalita, H. (2015). On the diophantine equation $(pq - 1)^x + pq^y = z^2$. Journal of Analysis & Number Theory, 3(2), 117–119. https://doi.org/10.18576/jant/030206
A. Hoque and H. Kalita, “On the diophantine equation $(pq - 1)^x + pq^y = z^2$,” Journal of Analysis & Number Theory, vol. 3, no. 2, pp. 117–119, 2015, doi: 10.18576/jant/030206.
Hoque A, Kalita H. On the diophantine equation $(pq - 1)^x + pq^y = z^2$. Journal of Analysis & Number Theory. 2015;3(2):117–119. doi:10.18576/jant/030206.
Hoque, A. and Kalita, H. (2015), ‘On the diophantine equation $(pq - 1)^x + pq^y = z^2$’, Journal of Analysis & Number Theory, 3(2), pp. 117–119. Available at: https://doi.org/10.18576/jant/030206.
Hoque, Azizul, and Himashree Kalita. “On the Diophantine Equation $(pq - 1)^x + Pq^y = z^2$.” Journal of Analysis & Number Theory, vol. 3, no. 2, 2015, pp. 117–119. https://doi.org/10.18576/jant/030206.
Hoque, Azizul, and Himashree Kalita. “On the Diophantine Equation $(pq - 1)^x + Pq^y = z^2$.” Journal of Analysis & Number Theory 3, no. 2 (2015): 117–119. https://doi.org/10.18576/jant/030206.
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Published by: Engineering Journals
