Mahler Measure Records

Top 100

The top 100 smallest Mahler measures known.

Records by Degree

Gives the smallest known Mahler measure of an irreducible polynomial of degree
D, for each D up to 180.

Records by Height

Gives the smallest known Mahler measure of an irreducible polynomial of a
given height.

Records by Number of Roots Outside the Unit Circle

Gives the smallest known Mahler measure of an irreducible polynomial with a
given number of roots outside the unit circle.
An explanation of the format used in
the tables.
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Last updated June 5, 2009.