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.