Around the Unit Circle: Mahler Measure, Integer Matrices and Roots of Unity

by James McKee

Mahler measure, a height function for polynomials, is the central theme of this book. It has many interesting properties, obtained by algebraic, analytic and combinatorial methods. It is the subject of several longstanding unsolved questions, such as Lehmer's Problem (1933) and Boyd's Conjecture (1981). This book contains a wide range of results on Mahler measure. Some of the results are very recent, such as Dimitrov's proof of the Schinzel-Zassenhaus...

• Format: Paperback
• Language: English
• ISBN: 303080030X
• ISBN13: 9783030800307
• Release Date: December 2021
• Publisher: Springer
• Length: 438 Pages
• Weight: 1.41 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"