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Upper bounds for certain trigonometric sums involving cosine powers

Anastasios D. Simalarides (2015)

Colloquium Mathematicae

We establish upper bounds for certain trigonometric sums involving cosine powers. Part of these results extend previous ones valid for the sum ∑ m = 1 k - 1 | s i n ( π r m / k ) | / s i n ( π m / k ) . We apply our results to estimate character sums in an explicit and elementary way.

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