On the analytic evaluation of a certain class of trigonometric sums

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Published: 2025-08-08
DOI: https://doi.org/10.71712/
Keywords:
Combinatorial identities, Multinomial coefficients, Diophantine equations.

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

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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Vol. 25 (2014)

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Articles

© 2026 The Author(s). Published By Universidad Técnica Federico Santa María

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Aristides V. Doumas. (2025). On the analytic evaluation of a certain class of trigonometric sums. Scientia Series A: Mathematical Sciences, 25, 1-8. https://doi.org/10.71712/