JSH: Nifty little result on quadratic diophantines - sci.math

Message from discussion JSH: Nifty little result on quadratic diophantines

JSH

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More options Sep 6 2008, 4:30 am

Newsgroups: alt.math.undergrad, alt.math.recreational, sci.math

From: JSH <jst...@gmail.com>

Date: Fri, 5 Sep 2008 13:30:23 -0700 (PDT)

Local: Sat, Sep 6 2008 4:30 am

Subject: JSH: Nifty little result on quadratic diophantines

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Oh hey, after I came up with the Quadratic Diophantine Theorem, I
started looking over research on quadratic diophantine equations and
it's kind of interesting because hey, looks like my research can help!

Like it will give criteria on Pell's equation, and may even offer a
route to generally solving a 2 variable diophantine quadratic as you
can just let x=1 to go from the 3 variable expression in the primary
theorem.

Such a powerful little result it looks like after a little research,
and I was wondering if it would be a big deal as I debated about
putting it on my math blog. Oh yeah, proof of the theorem is on my
math blog. Turns out it's easy to prove with tautological spaces.

Cool. Ok, going to read up more on quadratic diophantine equation
stuff that was already done before my research.

James Harris

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