✦ LIBER ✦
Algebraic independence of the values of Mahler functions associated with a certain continued fraction expansion
✍ Scribed by Taka-aki Tanaka
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 239 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
It is proved that the function YðzÞ
which can be expressed as a certain continued fraction, takes algebraically independent values at any distinct nonzero algebraic numbers inside the unit circle if the sequence fR k g kX0 is the generalized Fibonacci numbers.