Re: [Fractint] Extended Fermat's Last Theorem - Slightly Off-topic

Could you please explain the "semistable" concept ? Thanks, Miguel

From: "Morgan L. Owens" <packrat@nznet.gen.nz>

[snip]

The two theorems run: If FLT is false, then y^2=x(x-z^n)(x+y^n) is semistable, but not modular. (Conjectured in 1982 by Gerhard Frey; proven in 1986 by Ken Ribet via Jean-Pierre Serre).

and

All semistable elliptic curves are modular. (Conjectured by Yutaka Taniyama in 1955, later generalised by Goro Shimura and Andre Weil by dropping the "semistable" bit; proven in 1994 by Andrew Wiles).

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