4 citations · 6 across the 3 of their papers we have counts for
4 papers · 1 filter
Powers in orbits and semigroups generated by polynomials
Alina Ostafe, Dat T. Tran
In this paper, we study the presence of perfect powers in orbits of polynomials, or of semigroups generated by a finite family of polynomials, defined over a number field. In parti…
Well-Rounded Twists of the Ring of Integers in Cyclic Cubic Fields
Nam H. Le, Dat T. Tran, David Karpuk +1
Computing well-rounded twists of ideals in number fields has been done when the field degree is . In this paper, we develop a new algorithm to detect whether a basis of an ideal…
Well-Rounded ideal lattices of cyclic cubic and quartic fields
Dat T. Tran, Nam H. Le, Ha T. N. Tran
In this paper, we find criteria for when cyclic cubic and cyclic quartic fields have well-rounded ideal lattices. We show that every cyclic cubic field has at least one well-rounde…
Well-Rounded Twists of Ideal Lattices from Imaginary Quadratic Fields
Nam H. Le, Dat T. Tran, Ha T. N. Tran
In this paper, we investigate the properties of well-rounded twists of a given ideal lattice of an imaginary quadratic field . We show that every ideal lattice of has at…