ON MAHLER’S CLASSIFICATION OF $p$ -ADIC NUMBERS
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.
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Published in | Bulletin of the Australian Mathematical Society Vol. 98; no. 2; pp. 203 - 211 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Cambridge, UK
Cambridge University Press
01.10.2018
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Subjects | |
Online Access | Get full text |
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Summary: | 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. |
---|---|
ISSN: | 0004-9727 1755-1633 |
DOI: | 10.1017/S0004972718000515 |