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Arithmetic Progressions and Tic-Tac-Toe Games
Book chapter

Arithmetic Progressions and Tic-Tac-Toe Games

József Beck
Diophantine Approximation, pp.41-93
Developments in Mathematics, Springer Vienna
2008

Abstract

91A24 Arithmetic progression derandomization probabilistic method strategy
This paper is partly an overview of the subject (see Sections 1–4), in fact, as far as I know, the first attempt to do that, and partly an ordinary research paper containing proofs for new results (Sections 5–8). I use many different sources; to make the reader’s life easier, I decided to keep the paper (more-or-less) self-contained - this explains the considerable length.

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