Geodesic
Upper bounds for certain trigonometric sums involving cosine powers
Anastasios D. Simalarides1
1 196 Kifissias Street Kifissia 14562, Attica, Greece
Colloquium Mathematicum, Tome 141 (2015) no. 2, pp. 249-260

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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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