tag:blogger.com,1999:blog-12535639.post111842523844773832..comments2024-02-26T06:55:41.876-08:00Comments on Fermat's Last Theorem: Norms for Gaussian IntegersLarry Freemanhttp://www.blogger.com/profile/06906614246430481533noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-12535639.post-54647480692848108312007-09-30T19:27:00.000-07:002007-09-30T19:27:00.000-07:00Hi Rob,Thanks for your comments. Lemma 4 was a ty...Hi Rob,<BR/><BR/>Thanks for your comments. Lemma 4 was a typo. I've fixed Lemma 4.<BR/><BR/>For Lemma 6, I've converted the fractions into images. This should make the divisions much easier to follow.<BR/><BR/>Cheers,<BR/><BR/>-LarryLarry Freemanhttps://www.blogger.com/profile/06906614246430481533noreply@blogger.comtag:blogger.com,1999:blog-12535639.post-71482680410504691752007-09-24T06:22:00.000-07:002007-09-24T06:22:00.000-07:00Eeek!Those divisions in Lemma 6 (2) were hard to m...Eeek!<BR/>Those divisions in Lemma 6 (2) were hard to make out. Especially where it was all under one line, it is confusing visually as to whether (a + bi) should be in the denominator or not.<BR/><BR/>It might be better if you made it:<BR/><BR/>(a + bi) * (c + di) * 1/[(c + di)(c - di)]<BR/><BR/>Instead of:<BR/>1/[(c + di)(c - di)] * (a + bi) * (c + di) <BR/><BR/>RobScouse Robhttps://www.blogger.com/profile/00144454830208958210noreply@blogger.comtag:blogger.com,1999:blog-12535639.post-9434562688360610822007-09-24T06:05:00.000-07:002007-09-24T06:05:00.000-07:00In Lemma 4 (3) should it be:"But if either Norm(α)...In Lemma 4 (3) should it be:<BR/><BR/>"But if either Norm(α) ≠ ±1 ..."<BR/><BR/>Instead of:<BR/>"But if either Norm(α) ≠ 1 ..."<BR/><BR/>There seems to be no step limiting ±1 to 1 after that. <BR/>(I suppose Norm(α)>=0 but this isn't explicitly stated, refer to Lemma 1 (2) perhaps. Maybe it would be better to get rid of the ± stuff before step (3).)<BR/><BR/><BR/>Love all this Gaussian Integer stuff. Fantastic Blog. Rob.Scouse Robhttps://www.blogger.com/profile/00144454830208958210noreply@blogger.com