A characterization of B\"uchi's integer sequences of length 3
Number Theory
2010-11-11 v1
Abstract
We give a new characterization of generalized B\"uchi sequences (sequences whose sequence of squares has constant second difference , for some fixed integer ) of length 3 over the integers and a strategy for attacking B\"uchi's n Squares Problem. Known characterizations of integer B\"uchi sequences of length 3 are actually characterizations over the rationals, plus some divisibility criterions that keep integer sequences.
Cite
@article{arxiv.1011.2251,
title = {A characterization of B\"uchi's integer sequences of length 3},
author = {Pablo Saéz and Xavier Vidaux},
journal= {arXiv preprint arXiv:1011.2251},
year = {2010}
}