3 citations · 3 across the 5 of their papers we have counts for
6 papers
A characterization of the distances between Pisot numbers generating the same number field
M. J. Bertin, T. Zaïmi
Let K be a real algebraic number field and let P be the set of Pisot numbers generating K. We show that the elements of P-P are the algebraic integers of K whose images under the a…
On Salem numbers which are exceptional units II
Toufik Zaimi
We show that for any natural number satisfying and , and for any odd integer there are infinitely many Salem numb…
On Salem numbers which are exceptional units
Toufik Zaimi
By extending a construction due to Gross and McMullen [2], we show that for any odd integer n and for any even integer d>n+2 there are infinitely many Salem numbers of degree d…
On the trace of the integers of a number field
Francesco Battistoni, Toufik Zaïmi
Let denote the trace -module homomorphism defined on the ring of the integers of a number field We show that $Tr(\mathcal{O}_{L})\varsubset…
Comments on the height reducing property II
Shigeki Akiyama, Jörg M. Thuswaldner, Toufik Zaïmi
A complex number is said to satisfy the height reducing property if there is a finite set such that , where is the ring o…
Comments on the height reducing property
Shigeki Akiyama, Toufik Zaimi
A complex number alpha is said to satisfy the height reducing property if there is a finite subset F of the ring Z of the rational integers such that Z[alpha]=F[alpha]. This proble…