Local obstructions in sequences revisited

Published 26 Mar 2025 in math.CO, cs.DM, and math.NT | (2503.20529v1)

Abstract: In this article, we consider some simple combinatorial game and a winning strategy in this game. This game is then used to prove several known results about non-repetitive sequences and approximations with denominators from a lacunary sequence. In this way we simplify the proofs, improve the bounds and get for free the computable versions that required a separate treatment.

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