Elementary remarks about Pisano periods
In this short note, we reprove in a very elementary way some known facts about Pisano periods as well as some considerations about the link between Pisano periods and the order of roots of the characteristic equation. The technics only requires a small background in ring theory (merely the definitio...
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| creator | Duchamp, Gérard Henry Edmond Simonnet, Pierre |
| description | In this short note, we reprove in a very elementary way some known facts
about Pisano periods as well as some considerations about the link between
Pisano periods and the order of roots of the characteristic equation. The
technics only requires a small background in ring theory (merely the definition
of a commutative ring). The tools set here can be reused for all linear
recurrences with quadratic non-constant characteristic equation. |
| doi_str_mv | 10.48550/arxiv.2206.07095 |
| format | Article |
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about Pisano periods as well as some considerations about the link between
Pisano periods and the order of roots of the characteristic equation. The
technics only requires a small background in ring theory (merely the definition
of a commutative ring). The tools set here can be reused for all linear
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Pisano periods and the order of roots of the characteristic equation. The
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of a commutative ring). The tools set here can be reused for all linear
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about Pisano periods as well as some considerations about the link between
Pisano periods and the order of roots of the characteristic equation. The
technics only requires a small background in ring theory (merely the definition
of a commutative ring). The tools set here can be reused for all linear
recurrences with quadratic non-constant characteristic equation.</abstract><doi>10.48550/arxiv.2206.07095</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Symbolic Computation Mathematics - Combinatorics |
| title | Elementary remarks about Pisano periods |
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