| 期刊全称 | Around the Unit Circle | | 期刊简称 | Mahler Measure, Inte | | 影响因子2023 | James McKee,Chris Smyth | | 视频video | | | 发行地址 | A thorough introduction to the combinatorial approach to Mahler measure and more.Presents results that have not previously appeared in book form.Includes new tables of small Mahler measures and limit | | 学科分类 | Universitext | | 图书封面 |  | | 影响因子 | 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 Conjecture. Other known results are included with new, streamlined proofs. Robinson’s Conjectures (1965) for cyclotomic integers, and their associated Cassels height function, are also discussed, for the first time in a book..One way to study algebraic integers is to associate them with combinatorial objects, such as integer matrices. In some of these combinatorial settings the analogues of several notorious open problems have been solved, and the book sets out this recent work. Many Mahler measure results are proved for restricted setsof polynomials, such as for totally real polynomials, and reciprocalpolynomials of integer symmetric as well as symmetrizable matrices. For reference, the book includes appendices providing necessary ba | | Pindex | Textbook 2021 |
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发表于 2025-3-21 19:28:26
