Re: [math-fun] The Hippasus Integers
As a very kind colleague pointed out: There is still a typo: the complete absence of any correction. As this mundane finder (apply S_6*, S_5 respectively) pointed out:
SHOULD READ:
----- O_h = Z[(1 + sqrt(-h))/2] for -h = -3, -7, -11, -19, -43, -67, -163 ----- ((( And NOT:
O_h = Z[(1 + sqrt(h))/2] for -h = -3, -7, -11, -19, -43, -67, -163
))) As my maternal grandmother used to say: Oy!!!!!!!!!!!!!!!!!!!!!!! I can say this: The descent into total senility is at least interesting! —Dan ———— * But notice that Out(S_6) is different.
On 11/18/16, Dan Asimov <asimov@msri.org> wrote:
Correction:
On Nov 18, 2016, at 10:30 AM, Dan Asimov <asimov@msri.org> wrote:
Let O_h be the ring of algebraic integers of ℚ(√-h), Then:
O_1 = Z[i]
O_2 = Z[sqrt(-2)]
O_h = Z[(1 + sqrt(h))/2] for h = -3, -7, -11, -19, -43, -67, -163.
The last line should read:
----- O_h = Z[(1 + sqrt(h))/2] for -h = -3, -7, -11, -19, -43, -67, -163. -----
(and in that e-mail "discover" should be "discoverer". Argggh.
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Dan Asimov