𝑝-adic continued fractions of Liouville type

Laohakosol, Vichian; Ubolsri, Patchara

doi:10.1090/S0002-9939-1987-0908638-3

$p$-adic continued fractions of Liouville type
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by Vichian Laohakosol and Patchara Ubolsri

Proc. Amer. Math. Soc. 101 (1987), 403-410

DOI: https://doi.org/10.1090/S0002-9939-1987-0908638-3

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Abstract:

A $p$-adic analogue of a recent algebraic independence criterion of Adams is proved. It is then applied to construct Liouville type $p$-adic continued fractions of the kinds first considered by Ruban, and by Schneider.

References

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Zur Approximation

-adischer Irrationalzahlen

18

Lectures on diophantine approximations. Part

-adic numbers and Roth’s Theorem

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