Pell Equations and ℱpl-Continued Fractions
In this note, the solvability of the Pell equation, X2−DY2=1, is discussed over ℤ×plℤ. In particular, we show that this equation is solvable over ℤ×plℤ for each prime p and natural number l. Moreover, we show that solutions to the Pell equation over ℤ×plℤ are completely determined by the ℱpl-continu...
| Published in: | Journal of Mathematics |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Online Access: | http://dx.doi.org/10.1155/2022/2085717 |