Rational thinking

Does there exist a polynomial p\in\mathbb{Q}[X_1,\ldots,X_n] such that for any \alpha_1,\ldots,\alpha_n\in\mathbb{C} we have that p(\alpha_1,\ldots,\alpha_n)\in\mathbb{Q} if and only if \alpha_1,\ldots,\alpha_n\in\mathbb{Q}?

Advertisements
Rational thinking

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s