𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on the transcendence of infinite products

✍ Scribed by Hančl, Jaroslav; Kolouch, Ondřej; Pulcerová, Simona; Štěpnička, Jan

Book ID
118797801
Publisher
Springer
Year
2012
Tongue
English
Weight
144 KB
Volume
62
Category
Article
ISSN
0011-4642

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Transcendence of certain infinite produc
Transcendence of certain infinite products
✍ Yohei Tachiya 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 204 KB

We prove the transcendence results for the infinite product , where E k (x), F k (x) are polynomials, α is an algebraic number, and r 2 is an integer. As applications, we give necessary and sufficient conditions for transcendence of ∞ k=0 (1 ), where F n and L n are Fibonacci numbers and Lucas num

A Theorem on Transcendence of Infinite S
A Theorem on Transcendence of Infinite Series II
✍ M.A. Nyblom 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 149 KB

As an application of Roth's theorem concerning the rational approximation of algebraic numbers, a sufficiency condition is derived for a series of positive rational terms to converge to a transcendental number. This condition is then used to obtain similar sufficiency conditions that exist within th

A note on infinite trees
A note on infinite trees
✍ Joost Engelfriet 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 516 KB
A Theorem on Infinite Products
A Theorem on Infinite Products
✍ Titchmarsh, E. C. 📂 Article 📅 1926 🏛 Oxford University Press 🌐 English ⚖ 71 KB
On Infinite Cyclic Products
On Infinite Cyclic Products
✍ de Carvalho, C. A. A. 📂 Article 📅 1974 🏛 Oxford University Press 🌐 English ⚖ 229 KB