The Coefficient-Choosing Game
Number Theory
2017-10-13 v2
Abstract
Let be an integral domain. Two players, Nora and Wanda, alternately choose coefficients from for a polynomial of degree . When they are done, if the polynomial has a root in the field of fractions of , then Wanda wins. If not, then Nora wins. We determine, for many , who wins this game.
Cite
@article{arxiv.1707.04793,
title = {The Coefficient-Choosing Game},
author = {William Gasarch and Lawrence C. Washington and Sam Zbarsky},
journal= {arXiv preprint arXiv:1707.04793},
year = {2017}
}