Sur le developpement desqrt m en fraction continue p-adiqueen fraction continue p-adique |
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Authors: | Edmondo Bedocchi |
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Affiliation: | (1) Present address: Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, I-40127 Bologna, Italia |
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Abstract: | This note deals with the Mahler-Browkin p-adic continued fractions. The principal result is the following: For any prime p>2 and for any d ∈ ℕ, d odd, there are only finitely many m ∈ ℤ such that the p-adic continued fraction expansion of ∈ ℚp is periodic with period of length d. |
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