Abstract
The minimal integral Mahler measure of a number field [Formula: see text], [Formula: see text], is the minimal Mahler measure of an integral generator of [Formula: see text]. Upper and lower bounds, which depend on the discriminant and degree of [Formula: see text], are known. We show that for three natural families of cubics, the lower bounds are sharp with respect to its growth as a function of discriminant. We construct an algorithm to compute [Formula: see text] for all cubics with absolute value of the discriminant bounded by [Formula: see text] and show the resulting data for [Formula: see text].
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
