Re: [math-fun] The Hippasus Integers

Thanks. Yes, I have that book and agree it is a fine book to have. —Dan

From: Eugene Salamin via math-fun <math-fun@mailman.xmission.com>

You were right the first time.  If h=1 mod 4, the ring is Z[(1 + sqrt(h))/2].  Otherwise, the ring is Z[sqrt(h)].  It is understood that square factors are removed from h, so that h is squarefree.  This is all derived in Harvey Cohn, "Advanced Number Theory", Dover, p. 45, a wonderful book.