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arXiv:1409.6455 [math.NT]AbstractReferencesReviewsResources

Writing pi as sum of arctangents with linear recurrent sequences, Golden mean and Lucas numbers

Marco Abrate, Stefano Barbero, Umberto Cerruti, Nadir Murru

Published 2014-09-23Version 1

In this paper, we study the representation of pi as sum of arcotangents. In particular, we obtain new identities by using linear recurrent sequences. Moreover, we provide a method in order to express pi as sum of arcotangents involving the Golden mean, the Lucas numbers, and more in general any quadratic irrationality.

Journal: International Journal of Number Theory, Vol. 10, No. 5, 1309-1319, 2014
Categories: math.NT
Subjects: 11B37, 11B39
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