On the continued fraction expansions of $(1+\protect \sqrt{pq})/2$ and $\protect \sqrt{pq}$
The evenness and the values modulo $4$ of the lengths of the periods of the continued fraction expansions of $\sqrt{p}$ and $\sqrt{2p}$ for $p\equiv 3\pmod {4}$ a prime are known. Here we prove similar results for the continued fraction expansion of $\sqrt{pq}$, where $p,q\equiv 3\pmod {4}$ are dist...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-11-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.266/ |