系数选择博弈
The Coefficient-Choosing Game
摘要：
设$D$是一个整环.两个玩家Nora和Wanda交替地从$D$中选择系数以得到$d$次多项式。当它们完成时，如果多项式的根在$D$的分数域中，则Wanda获胜。如果不是，那么诺拉就赢了。我们决定，对于许多$D$，谁赢得这场比赛。
英文摘要：
Let $D$ be an integral domain. Two players, Nora and Wanda, alternately choose coefficients from $D$ for a polynomial of degree $d$. When they are done, if the polynomial has a root in the field of fractions of $D$, then Wanda wins. If not, then Nora wins. We determine, for many $D$, who wins this game.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
