Identités et estimations concernant le plus petit commun multiple de suites à forte divisibilité
In this note, we first prove that for any strong divisibility sequence $a = \left(a_n\right)_{n\ge 1}$, we have the identity: $\mathrm{lcm}\left\lbrace \binom{n}{0}_{a},\binom{n}{1}_{a},\dots ,\binom{n}{n}_{a}\right\rbrace =\frac{\mathrm{lcm}\left(a_1,\dots ,a_n,a_{n+1}\right)}{a_{n+1}}$ $\left(\for...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2020-07-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.64/ |