The Fibonacci Zeta-Function is Hypertranscendental

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

Hypertranscendence , Fibonacci zeta-function
  • J¨orn Steuding Department of Mathematics, W¨urzburg University, Am Hubland, 97 218 W¨urzburg, Germany.
  • Pages: 133–136
  • Date Published: 2008-10-01
  • Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal

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

Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal

Section

Articles