Search Results

You are looking at 1 - 10 of 17 items for :

  • "number fields" x
Clear All

Abstract  

In this paper, we present several methods for the construction of elliptic curves with large torsion group and positive rank over number fields of small degree. We also discuss potential applications of such curves in the elliptic curve factorization method (ECM).

Restricted access

field , Int. J. Contemp. Math. Sci., 2 ( 13-16 )( 2007 ), 601 - 606 . [6] El Fadil , L. , On Power integral bases for certain pure number fields (preprint). [7] El Fadil , L. , On Newton polygon’s techniques and factorization of polynomial

Restricted access

Abstract  

In this paper we compute the box counting dimension of sets, that are related to number systems in real quadratic number fields. The sets under discussion are so-called graph-directed self affine sets. Contrary to the case of self similar sets, for self affine sets there does not exist a general theory for the determination of the box counting dimension. Thus we are forced to construct the covers, needed for its calculation, directly.

Restricted access

] Deza , E. , Varukhina , L. 2008 On mean values of some arithmetic functions in number fields Discrete Math. 308 4892 – 4899 10.1016/j.disc.2007.09.008 . [4] Heath-Brown , D. R

Restricted access