English

Infinite arctangent sums involving Fibonacci and Lucas numbers

Number Theory 2016-03-29 v1

Abstract

Using a straightforward elementary approach, we derive numerous infinite arctangent summation formulas involving Fibonacci and Lucas numbers. While most of the results obtained are new, a couple of celebrated results appear as particular cases of the more general formulas derived here.

Keywords

Cite

@article{arxiv.1603.08097,
  title  = {Infinite arctangent sums involving Fibonacci and Lucas numbers},
  author = {Kunle Adegoke},
  journal= {arXiv preprint arXiv:1603.08097},
  year   = {2016}
}