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      Infinite arctangent sums involving Fibonacci and Lucas numbers

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          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.

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          Author and article information

          Journal
          2016-03-26
          Article
          1603.08097
          686b1d8b-2cd7-467d-9094-cc7e1bfe45f4

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          11B39, 11Y60
          math.NT

          Number theory
          Number theory

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