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- W1658256510 abstract "Let [theta] denote the integer part and {theta} the fractional part of the real number theta. For theta > 1 and {theta^{1/n}} neq 0, define M_{theta}(n) = [1/{theta^{1/n}}]. The arithmetic function M_{theta}(n) is eventually increasing, and lim_{nrightarrow infty} M_{theta}(n)/n = 1/log theta. Moreover, M_{theta}(n) is linearly periodic if and only if log theta is rational. Other results and problems concerning the function M_{theta}(n) are discussed." @default.
- W1658256510 created "2016-06-24" @default.
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- W1658256510 date "2011-12-08" @default.
- W1658256510 modified "2023-09-27" @default.
- W1658256510 title "On the fractional parts of roots of positive real numbers" @default.
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