In this short survey paper we state the Büchi conjecture and discuss its relations with the Hilbert Tenth Problem. We give some generalizations of the conjecture, and include some numerical examples.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-2,
title = {The B\"uchi sequences and Hilbert's Tenth Problem},
journal = {Banach Center Publications},
volume = {108},
year = {2016},
pages = {23-30},
zbl = {06622282},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-2}
}
(éd.). The Büchi sequences and Hilbert's Tenth Problem. Banach Center Publications, Tome 108 (2016) pp. 23-30. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-2/