manuscripta mathematica

, Volume 67, Issue 1, pp 187–195

Sur le developpement de\(\sqrt m\) en fraction continue p-adiqueen fraction continue p-adique

  • Edmondo Bedocchi

DOI: 10.1007/BF02568429

Cite this article as:
Bedocchi, E. Manuscripta Math (1990) 67: 187. doi:10.1007/BF02568429


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\(\sqrt m\) ∈ ℚp is periodic with period of length d.

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Edmondo Bedocchi
    • 1
  1. 1.Dipartimento di MatematicaUniversità di BolognaBolognaItalia

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