Factors of characteristic words of irrational numbers
โ Scribed by Wai-Fong Chuan
- Book ID
- 111713778
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 228 KB
- Volume
- 337
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this monograph, Ivan Niven, provides a masterful exposition of some central results on irrational, transcendental, and normal numbers. He gives a complete treatment by elementary methods of the irrationality of the exponential, logarithmic, and trigonometric functions with rational arguments. The
Let a be an irrational number with 0 < a < 1. Using the continued fraction expansion of a, the class of a-words is introduced. It contains certain sequences of words that are known to relate to the characteristic sequence f(a) of a. When a = (v'~-1)/2, a-words are precisely the Fibonacci words. In t