𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the transcendence and algebraic independence of certain continued fractions

✍ Scribed by Thomas Töpfer

Publisher
Springer Vienna
Year
1994
Tongue
English
Weight
291 KB
Volume
117
Category
Article
ISSN
0026-9255

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the algebraic independence of certain
On the algebraic independence of certain numbers
✍ R. Tijdeman 📂 Article 📅 1971 🏛 Elsevier Science ⚖ 756 KB

In his book " Transcendent al and algebraic numbers" , [1] pp. 182-1 33, A. O. GJ~LFOND gives some results concerning the algebraic independence of numbers which can be considered as extensions of the fam ous t heore ms of Gelfond-Schne ider and Lindemann. More recently A. A. SHMELEV pu blished a va

Algebraic independence of the values of
Algebraic independence of the values of Mahler functions associated with a certain continued fraction expansion
✍ Taka-aki Tanaka 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 239 KB

## 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.