Vol. 25 (2014)
Articles

On the analytic evaluation of a certain class of trigonometric sums

Aristides V. Doumas
Department of Mathematics National Technical University of Athens Zografou Campus, 157 80 Athens, Greece.

Published 2014-01-15

Keywords

  • Combinatorial identities,
  • Multinomial coefficients,
  • Diophantine equations.

How to Cite

Aristides V. Doumas. (2014). On the analytic evaluation of a certain class of trigonometric sums. Scientia Series A: Mathematical Sciences, 25, 1-8. https://revistas.usm.cl/scientia/article/view/215

Abstract

We present an analytic evaluation of the solution to a problem by A. de Moivre. Our approach is based on simple combinatorial arguments. Some identities involving a class of trigonometric sums and multinomial coefficients are also exhibited. 

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