Some algebraically independent continued fractions

Laohakosol, Vichian; Ubolsri, Patchara

doi:10.1090/S0002-9939-1985-0801317-0

Some algebraically independent continued fractions
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by Vichian Laohakosol and Patchara Ubolsri PDF

Proc. Amer. Math. Soc. 95 (1985), 169-173 Request permission

Abstract:

Using simple arguments, we prove algebraic independence of a class of continued fractions extending an earlier result of Bundschuh. We then apply it to give another proof of algebraic independence of numbers whose $g$-adic and continued fraction expansions are explicitly known.

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