Abstract
For a positive integerN, L(N) denotes the set of Lagrange values of all sequences (a k:k=0, ±1, ±2,…) of positive integers with lim sup k ak=N. It is shown that for anyN≥3L(N) has infinitely many condensation points. Such points can be realized as Markov values of symmetric doubly periodic sequences whose period consists of a semi-symmetric tuple.
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Pavone, M. On the condensation points of the lagrange spectrum. Rend. Circ. Mat. Palermo 35, 444–447 (1986). https://doi.org/10.1007/BF02843911
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DOI: https://doi.org/10.1007/BF02843911