Usuario: guest
No has iniciado sesión
No has iniciado sesión
Type: Article
On Machin's formula with powers of the golden section
Abstract:
In this note, we find all solutions of the equation pi/4 = a arctan(phi(kappa)) + b arctan(phi(l)), in integers kappa and l and rational numbers a and b, where phi is the golden section.
In this note, we find all solutions of the equation pi/4 = a arctan(phi(kappa)) + b arctan(phi(l)), in integers kappa and l and rational numbers a and b, where phi is the golden section.
Keywords: pi; golden section; primitive divisors; Fibonacci; Lucas numbers
MSC: 11D45 (11B39 11D85)
Journal: International Journal of Number Theory
ISSN: 1793-0421
Year: 2009
Volume: 5
Number: 6
Pages: 973--979
Created: 2012-12-07 13:49:32
Modified: 2014-02-12 10:53:17
Referencia revisada
Autores Institucionales Asociados a la Referencia: