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Bibliographic Details
Main Authors: Rosenfeld, Matthieu, Shen, Alexander
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.20529
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author Rosenfeld, Matthieu
Shen, Alexander
author_facet Rosenfeld, Matthieu
Shen, Alexander
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_20529
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Local obstructions in sequences revisited
Rosenfeld, Matthieu
Shen, Alexander
Combinatorics
Discrete Mathematics
Number Theory
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.
title Local obstructions in sequences revisited
topic Combinatorics
Discrete Mathematics
Number Theory
url https://arxiv.org/abs/2503.20529