Heights of Polynomials and Entropy in Algebraic Dynamics
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Word Count
56,000 words, Guess
Page Count
224 pages
Identifiers
- Open LibraryOL37425703M
- ISBN-139781447138983
- ISBN-101447138988
- Better World Books9781447138983
Classifications
- LCCQA241-247.5
Description
The main theme of the book is the theory of heights as they appear in various guises. This includes a large body of results on Mahler's measure of the height of a polynomial of which topic there is no book available. The genesis of the measure in a paper by Lehmer is looked at, which is extremely well-timed due to the revival of interest following the work of Boyd and Deninger on special values of Mahler's measure. The authors'approach is very down to earth as they cover the rationals, assuming no prior knowledge of elliptic curves. The chapters include examples and particular computations. A large chunk of the book has been devoted to the elliptic Mahler's measure. Special calculation have been included and will be self-contained. One of the most important results about Mahler's measure is that it is the entropy associated to a dynamical system. The authors devote space to discussing this and to giving some convincing and original examples to explain this phenomenon.
Subjects
Other Editions
- Heights of Polynomials and Entropy in Algebraic Dynamics
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