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Published in 2020 at "Fractals"
DOI: 10.1142/s0218348x20500644
Abstract: For any x ∈ (0, 1], let x = 1 d1 + 1 d1(d1 − 1)d2 + ⋯ + 1 d1(d1 − 1)⋯dn−1(dn−1 − 1)dn + ⋯ be its Luroth expansion with digits {dj ≥…
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Keywords:
digits roth;
roth expansions;
rate digits;
growth rate ... See more keywords
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Published in 2020 at "Comptes Rendus Mathematique"
DOI: 10.5802/crmath.71
Abstract: In this note, the rate of growth of digits in the Lüroth expansion of an irrational number is studied relative to the rate of approximation of the number by its convergents. The Hausdorff dimension of…
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Keywords:
growth;
growth rate;
rate digits;
rate ... See more keywords