| 书目名称 | The Dynamical System Generated by the 3n+1 Function | | 编辑 | Günther J. Wirsching | | 视频video | | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focus of the book are 3n+1 predecessor sets. These are analyzed using, e.g., elementary number theory, combinatorics, asymptotic analysis, and abstract measure theory. The book is written for any mathematician interested in the 3n+1 problem, and in the wealth of mathematical ideas employed to attack it. | | 出版日期 | Book 1998 | | 关键词 | 3n+1 problem; asymptotic analysis; calculus; collatz graph; dynamical systems on N; number theory; p-adic | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0095985 | | isbn_softcover | 978-3-540-63970-1 | | isbn_ebook | 978-3-540-69677-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 1998 |
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发表于 2025-3-21 19:59:51
