Re: Ed Barbeau's "Pell's Equation"


sttscitrans@xxxxxxxxx wrote:
> Keith Ramsay wrote:
> > john_ramsden@xxxxxxxxxxxxxx wrote:
> > |sttscitrans@xxxxxxxxx wrote:
> > |>
> > |> A reviewer mentions that there is a chapter
> > |> on "the cubic analog of Pell's equation"
> > |> in Barbeau's book. Could anyone who has
> > |> read this chapter tell me what this
> > |> analog actually is ?
> > |
> > |See http://www.math.toronto.edu/mathnet/simmer/topic.oct99.html
> > |
> > |(In particular there's a link to Chapter 7.pdf near the
> > |end of the page.)
> >
> > The link appears to be broken (and the postscript verion too).
>
> Thanks, I suspect the analog is
> probably x^3 +ky^3 +(k^2)z^3 -3kxyz=1
> The reviewer seems to suggest that Barbeau
> gives a method of solving these higher
> degree Pell analogs and as I have recently
> found a method that seems to work, I
> was wondering what Barbeau's method was.

Does your method work for k=1000700? I suspect the smallest solution
is quite large, but have not been able to find it.

Rich

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