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ON MAHLER’S CLASSIFICATION OF $p$-ADIC NUMBERS

Published online by Cambridge University Press:  30 July 2018

YANN BUGEAUD*
Affiliation:
Université de Strasbourg, CNRS, IRMA UMR 7501, 7, rue René Descartes, 67000 Strasbourg, France email [email protected]
GÜLCAN KEKEÇ
Affiliation:
Department of Mathematics, Faculty of Science, Istanbul University, 34134, Vezneciler-Istanbul, Turkey email [email protected]
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Abstract

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We give transcendence measures for $p$-adic numbers $\unicode[STIX]{x1D709}$, having good rational (respectively, integer) approximations, that force them to be either $p$-adic $S$-numbers or $p$-adic $T$-numbers.

Type
Research Article
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

Footnotes

This work is supported by the Scientific Research Projects Coordination Unit of Istanbul University, project number IRP-52249.

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