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arXiv · 1011.2251

A characterization of Büchi's integer sequences of length 3

Pablo Saéz·Xavier Vidaux
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Abstract

We give a new characterization of generalized Büchi sequences (sequences whose sequence of squares has constant second difference $(a)$, for some fixed integer $a$) of length 3 over the integers and a strategy for attacking Büchi's n Squares Problem. Known characterizations of integer Büchi sequences of length 3 are actually characterizations over the rationals, plus some divisibility criterions that keep integer sequences.

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Pablo Saéz, Xavier Vidaux. 2010-11-10. A characterization of Büchi's integer sequences of length 3. https://arxiv.org/abs/1011.2251

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