2 results
ON MAHLER’S CLASSIFICATION OF
$p$-ADIC NUMBERS
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 98 / Issue 2 / October 2018
- Published online by Cambridge University Press:
- 30 July 2018, pp. 203-211
- Print publication:
- October 2018
-
- Article
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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.
ON MAHLER’S
$p$-ADIC 
$U_{m}$-NUMBERS
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 88 / Issue 1 / August 2013
- Published online by Cambridge University Press:
- 21 August 2012, pp. 44-50
- Print publication:
- August 2013
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- Article
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The aim of this work is to adapt a construction of the so-called
$U_{m}$-numbers (
$m\gt 1$), which are extended Liouville numbers with respect to algebraic numbers of degree 
$m$ but not with respect to algebraic numbers of degree less than 
$m$, to the 
$p$-adic frame.
