Difference between revisions of "Fibonacci zeta function"
From specialfunctionswiki
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=Properties= | =Properties= | ||
| − | [[Fibonacci zeta at 1 is irrational]] | + | [[Fibonacci zeta at 1 is irrational]]<br /> |
| − | [[Fibonacci zeta is transcendental at positive even integers]] | + | [[Fibonacci zeta is transcendental at positive even integers]]<br /> |
=References= | =References= | ||
Revision as of 14:31, 9 August 2016
The Fibonacci zeta function is defined by $$F(s)=\displaystyle\sum_{k=1}^{\infty} f_n^{-s},$$ where $f_n$ denotes the $n$th term in the Fibonacci sequence.
Properties
Fibonacci zeta at 1 is irrational
Fibonacci zeta is transcendental at positive even integers
