The Fibonacci Zeta-Function is Hypertranscendental
-
J¨orn Steuding
steuding@mathematik.uni-wuerzburg.de
Downloads
Abstract
Applying a theorem of Reich on Dirichlet series satisfying difference-differential equations, we show that the Fibonacci zeta-function satisfies no algebraic differential equation.
Keywords
Similar Articles
- E. N. Mahmudov, G. C¸i¸cek, Optimization of differential inclusions of Bolza type with state constraints and duality , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Ghislain R. Franssens, On the impossibility of the convolution of distributions , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- George A. Anastassiou, Poincar´e Type Inequalities for Linear Differential Operators , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Peter D. Hislop, Fundamentals of scattering theory and resonances in quantum mechanics , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
- Alexander A. Kovalevsky, Francesco Nicolosi, On a condition for the nonexistence of \(W\)-solutions of nonlinear high-order equations with L\(^1\) -data , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Joss Sánchez P., Characterization of the Banzhaf value using a consistency axiom , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Chia-chi Tung, On Semisubmedian Functions and Weak Plurisubharmonicity , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- L. P. Castro, A. S. Silva, Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Claus Bauer, A new solution algorithm for skip-free processes to the left , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Yasuyuki Oka, On the Weyl transform with symbol in the Gel‘fand-Shilov space and its dual space , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2008-10-01
How to Cite
[1]
J. Steuding, “The Fibonacci Zeta-Function is Hypertranscendental”, CUBO, vol. 10, no. 3, pp. 133–136, Oct. 2008.
Issue
Section
Articles
