Kunle Adegoke

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 21, 2015, Number 1, Pages 56—66

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## Details

### Authors and affiliations

Kunle Adegoke

*Department of Physics, Obafemi Awolowo University
Ile-Ife, 220005 Nigeria
*

### Abstract

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

- Fibonacci numbers
- Lucas numbers
- Lehmer’s formula
- Arctangent sums
- Infinite sums

### AMS Classification

- 11B39
- 11Y60

### References

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- Basin, S. L. & Hoggatt Jr., V. E. (1964) A primer for the Fibonacci numbers: Part I. The Fibonacci Quarterly, 2(1), 13–17.
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## Cite this paper

APAAdegoke, K. (2015). Infinite arctangent sums involving Fibonacci and Lucas numbers. Notes on Number Theory and Discrete Mathematics, 21(1), 56-66.

ChicagoAdegoke, Kunle. “Infinite Arctangent Sums Involving Fibonacci and Lucas Numbers.” Notes on Number Theory and Discrete Mathematics 21, no. 1 (2015): 56-66.

MLAAdegoke, Kunle. “Infinite Arctangent Sums Involving Fibonacci and Lucas Numbers.” Notes on Number Theory and Discrete Mathematics 21.1 (2015): 56-66. Print.