Re: factoring using geomerty?

From: sqrt\(i\) (com.com_at_com)
Date: 09/29/03 

Date: Sun, 28 Sep 2003 19:41:11 -0400

would you care to elaborate just a little on the link between the difference
of squares and its relation to geometry?

thanks
mitou

"Bob Silverman" <pubkeybreaker@aol.comstuff> wrote in message
news:20030928184243.02978.00000273@mb-m26.aol.com...
> Hi,
>
> May I suggest that you get a book on this
> subject? Your question is "too wide open"
> in general to give a meaningful answer,
> but generally the answer is "yes".
>
> The Elliptic Curve Method definitely relies
> on geometry, as does the difference of
> squares. Even sieve methods rely to some
> part on "geometry".
>
> As to what kind of geometry, I don't want
> to be condenscending, but the wording of
> your question suggests that you would
> not understand a meaningful answer.
> Would the answer "algebraic geometry"
> mean anything to you?
> You can lead a horse's ass to knowledge, but you can't make him think.

Relevant Pages

  • Re: How to fit an ellipsoid to 3D data
    ... The general form for an ellipsoid is ... points you can estimate them using simple least squares. ... I am also not sure that this general form ... knows solid geometry better than I can say so. ...
    (comp.soft-sys.matlab)
  • Re: Sum of squares-
    ... But I would like a symbolic proof without appealing to geometry. ... A prime number p = 4n+1 is the sum of two squares in an essentially unique way. ... A number which is the product of N different prime numbers of the form 4n+1 is the sum of two squares in essentially 2^different ways. ...
    (sci.math)
  • Sum of squares
    ... But I would like a symbolic proof without appealing to geometry. ...
    (sci.math)
  • Re: factoring using geomerty?
    ... The Elliptic Curve Method definitely relies ... part on "geometry". ... to be condenscending, but the wording of ... Would the answer "algebraic geometry" ...
    (sci.crypt)
  • factoring using geomerty?
    ... does anyone know if a method using geometry has been used, ... developed to factor numbers into their primes factors? ... most useful to the purpose of factoring? ... mitou. ...
    (sci.crypt)