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- W3104210116 abstract "Abstract Let $def xmlpi #1{}def mathsfbi #1{boldsymbol {mathsf {#1}}}let le =leqslant let leq =leqslant let ge =geqslant let geq =geqslant def Pr {mathit {Pr}}def Fr {mathit {Fr}}def Rey {mathit {Re}}p$ be a prime and $b$ a primitive root of $p^2$ . In this paper, we give an explicit formula for the number of times a value in ${0,1,ldots,b-1}$ 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." @default.
- W3104210116 created "2020-11-23" @default.
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- W3104210116 date "2014-03-27" @default.
- W3104210116 modified "2023-10-16" @default.
- W3104210116 title "AN ARITHMETICAL EXCURSION VIA STONEHAM NUMBERS" @default.
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- W3104210116 doi "https://doi.org/10.1017/s1446788713000682" @default.
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