Geodesic
Upper bounds for certain trigonometric sums involving cosine powers
Anastasios D. Simalarides1
1196 Kifissias Street Kifissia 14562, Attica, Greece
Colloquium Mathematicum, Tome 141 (2015) no. 2, pp. 249-260
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We establish upper bounds for certain trigonometric sums involving cosine powers. Part of these results extend previous ones valid for the sum \[ \sum^{k-1}_{m=1}\frac{|\!\sin(\pi rm/k)|}{\sin(\pi m/k)}. \] We apply our results to estimate character sums in an explicit and elementary way.
DOI : 10.4064/cm141-2-9
Keywords: establish upper bounds certain trigonometric sums involving cosine powers part these results extend previous valid sum sum k frac sin sin apply results estimate character sums explicit elementary

Anastasios D. Simalarides  1

1 196 Kifissias Street Kifissia 14562, Attica, Greece 
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Anastasios D. Simalarides. Upper bounds for certain trigonometric sums involving cosine powers. Colloquium Mathematicum, Tome 141 (2015) no. 2, pp. 249-260. doi: 10.4064/cm141-2-9

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