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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

12 votes

Does every big polyomino contain a big arithmetic progression?

Alternative proof to Zachs, with best bound: The answer is no, and the largest $k$ possible is $k=4$. The proof is due to a theorem by Dekking from 1978: There exists a sequence on two symbols in whic …
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