An arithmetical excursion via Stoneham numbers

Title: An arithmetical excursion via Stoneham numbers
Creator: Coons, Michael
Relation: ARC.DE140100223
Relation: Journal of the Australian Mathematical Society Vol. 96, Issue 3, p. 303-315
Publisher Link: http://dx.doi.org/10.1017/S1446788713000682
Publisher: Cambridge University Press
Resource Type: journal article
Date: 2014
Description: Let p be a prime and b a primitive root of p². In this paper, we give an explicit formula for the number of times a value in {0, 1, ..., b - 1} occurs in the periodic part of the base-b expansion of 1/p^m. As a consequence of this result, we prove two recent conjectures of Aragón Artacho et al. [‘Walking on real numbers’, Math. Intelligencer 35(1) (2013), 42–60] concerning the base-b expansion of Stoneham numbers.
Subject: Stoneham numbers; base-b expansions; normal numbers
Identifier: http://hdl.handle.net/1959.13/1303451
Identifier: uon:20656
Identifier: ISSN:1446-7887
Language: eng
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