Spectrum of the Levy Constants for Quadratic Irrationalities
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- Golubeva, E.P. Journal of Mathematical Sciences (2002) 110: 3040. doi:10.1023/A:1015459925489
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It is proved that π2/12 log 2 is a condensation point of the set of Levy constants for quadratic irrationalities of the form \(\sqrt d \). Conditions are obtained under which the Levy constant for \(\sqrt d \)is separated from the left bounding point for the Levy constants, i.e., from \(\log (1 + \sqrt 5 )/2\). Bibliography: 8 titles.