THE GROWTH RATE OF THE DIGITS IN THE LÜROTH EXPANSIONS
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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 ≥… read more here.
Keywords: digits roth; roth expansions; rate digits; growth rate ... See more keywords
The relative growth rate for the digits in Lüroth expansions
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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… read more here.
Keywords: growth; growth rate; rate digits; rate ... See more keywords