Re: [math-fun] integers that are either square or thrice a square, where do such beasts hide?

* Dan Asimov <dasimov@earthlink.net> [Aug 30. 2018 08:41]:

With "rational arguments" — not sure I know what that means.

The set of integers of the forms x^2 - x * y + y^2 (using [0,1] and w_3), x^2 + x * y + y^2 (using [0,1] and w_6), and x^2 + 3 * y^2 (using ???) are all the same (norms of Eisensteins). In the last form, with either x or y zero, one gets what was asked for. Not sure that is what 'rational' means here (with Gaussian, 'rational' being the 4k+3 primes, those with zero imaginary part). Best regards, jj

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