On the Deuring Polynomial for Drinfeld Modules in Legendre Form

Autor: Bassa, Alp, Beelen, Peter

Publikováno v: Acta Arithmetica 186 (2018) , 179-190

We study a family $\psi^{\lambda}$ of $\mathbb F_q[T]$-Drinfeld modules, which is a natural analog of Legendre elliptic curves. We then find a surprising recurrence giving the corresponding Deuring polynomial $H_{p(T)}(\lambda)$ characterising supers

Externí odkaz: http://arxiv.org/abs/1811.00084

On the Deuring polynomial for Drinfeld modules in Legendre form

Autor: Peter Beelen, Alp Bassa

Publikováno v: Bassa, A & Beelen, P 2018, ' On the deuring polynomial for drinfeld modules in legendre form ', Acta Arithmetica, vol. 186, no. 2, pp. 179-190 . https://doi.org/10.4064/aa170707-17-2

We study a family $\psi^{\lambda}$ of $\mathbb F_q[T]$-Drinfeld modules, which is a natural analog of Legendre elliptic curves. We then find a surprising recurrence giving the corresponding Deuring polynomial $H_{p(T)}(\lambda)$ characterising supers

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb7a837a18b9c35e8677de76c59aaf9a
https://doi.org/10.4064/aa170707-17-2

A [formula omitted]-adic point counting algorithm for elliptic curves on legendre form

Autor: Madsen, Marc Skov ^*

Publikováno v: In Finite Fields and Their Applications 2005 11(1):71-88

Generalizations of monsky matrices for elliptic curves in legendre form

Autor: Mokrani, Youcef

Un nombre naturel n est dit congruent si il est l’aire d’un triangle rectangle dont tous les cotés sont de longueur rationnelle. Le problème des nombres congruents consiste à déterminer quels nombres sont congruents. Cette question, connue de

Externí odkaz: http://hdl.handle.net/1866/24347

A p-adic point counting algorithm for elliptic curves on legendre form

Autor: Marc Skov Madsen

Publikováno v: Finite Fields and Their Applications. 11:71-88

In 2000 T. Satoh gave the first p-adic point counting algorithm for elliptic curves over finite fields. Satoh's algorithm was followed by the Satoh-Skjernaa-Taguchi algorithm and furthermore by the arithmetic-geometric mean and modified SST algorithm

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6065ef65bbed2d2550c04fa757b334bc
https://doi.org/10.1016/j.ffa.2004.05.002