On Wednesday, December 21, 2016 at 8:21:12 PM UTC+2, richard miller wrote:
> Unity Root Matrix Theory (URMT)
> Numeric Solutions to the Coordinate Equation 0 = x^n + y^n - z^n + k.x.y.z
>
> http://www.urmt.org/urmt_numeric_solutions.pdf" rel="nofollow" target="_blank">http://www.urmt.org/urmt_numeric_solutions.pdf
>
> It is that time of year again, 'Rush Day' as I call it since, in the UK, the date is 21/12 and '2112' happens to be the name of an album featuring a rather neat bit of prog. rock by the Canadian rock-band Rush. A band that did not shy away from a couple of lengthy ~ 20-minute epics!
>
> And, also in a rush (oh dearie, dearie me), to meet today's self-imposed deadline, I have produced a free pdf doc detailing some numeric solutions plus theory to URMT's 'Coordinate Equation', i.e.
>
> 0 = x^n + y^n - z^n + k.x.y.z
>
> All in integers, and k evidently non-zero thanks to Wiles/Taylor 1995.
>
> As a taster, there is the old URMT chestnuts, the cubic
>
> 0 = 9^3 + 31^3 - 70^3 + 16.9.31.70
>
> and the quintic
>
> 0 = 5^5 + 11^5 - 31^5 + 16695.5.11.31
>
> plus many many more! There is also a link to the Riemann Hypothesis, just for good measure.
>
> Of course, it is the value of k that holds most interest, and the reader will soon observe that k becomes ridiculously large as the exponent increases.
>
> Since it was done in a rush, I will be updating/correcting it quite a lot over xmas.
>
> So, I wish Alex, Geddy and Neil, plus all at sci.math and sci.physics, who celebrate Xmas,
>
> Happy Xmas
>
> Richard Miller
> http://www.urmt.org
>
> To quote Rush, 2112
>
> "I wish that it, might come to pass, not fade like all my dreams"
>
> They don't write'em like that anymore, sniff...
>
> All together now, "we are the priests, ..."