most citedWell-Rounded Twists of Ideal Lattices from Imaginary Quadratic Fields

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math.NT2025

Principal Well-Rounded Ideals of real quadratic fields

Morgan Smith, Ha T. N. Tran

It has been well known since Gauss that the principality of an ideal in a real quadratic field is equivalent to the solvability of a certain generalized Pell equations. In this…

math.NT2025

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…

math.NT2022★ 2 cited

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…