Re: OT On an integer factoring algorithm based on smooth class number of quadratic fields

Pascal Molin <[email protected]> Thu, 18 Jul 2024 07:56:33 -0400
Newsgroups gmane.comp.mathematics.pari.devel
Message-ID <CAAuMLAnxWY5oB19BUQKytAMJVRYK2C=ga9n3=PQyNxTag+9wbA@mail.gmail.com>
Btw, a recent update on this method: with an extra trick it allows
efficient squarefree factorization
https://antsmath.org/ANTSXVI/papers/Mulder.pdf

Cheers,

Pascal

Le jeu. 18 juil. 2024 à 07:36, Georgi Guninski <[email protected]> a
écrit :

> > See Henri Cohen GTM 138, pp 473,
> > The class group method of Schorr-Lenstra
>
> Many thanks! I am searching for free copy.
>
> When you write "Q( v' - N", do you mean Q(sqrt(-N))?
>
> Does the Schorr-Lenstra work for all class groups, including degree>2?
>
> (In a private email it was suggested that this should work for
> arbitrary class groups if a multiple of $h$ is given).
>
>