Abstract
We study well-rounded lattices which come from ideals in quadratic number fields, generalizing some recent results of the first author with Petersen [On ideal well-rounded lattices, Int. J. Number Theory8(1) (2002) 189–206]. In particular, we give a characterization of ideal well-rounded lattices in the plane and show that a positive proportion of real and imaginary quadratic number fields contains ideals giving rise to well-rounded lattices.
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