Upper bounds for certain trigonometric sums involving cosine powers
Colloquium Mathematicae (2015)
- Volume: 141, Issue: 2, page 249-260
- ISSN: 0010-1354
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Abstract
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topAnastasios D. Simalarides. "Upper bounds for certain trigonometric sums involving cosine powers." Colloquium Mathematicae 141.2 (2015): 249-260. <http://eudml.org/doc/284275>.
@article{AnastasiosD2015,
abstract = {We establish upper bounds for certain trigonometric sums involving cosine powers. Part of these results extend previous ones valid for the sum
$∑^\{k-1\}_\{m=1\} |sin(πrm/k)|/sin(πm/k)$.
We apply our results to estimate character sums in an explicit and elementary way.},
author = {Anastasios D. Simalarides},
journal = {Colloquium Mathematicae},
keywords = {trigonometric sum; cosine powers; primitive character; character sum; Pólya-Vinogradov inequality},
language = {eng},
number = {2},
pages = {249-260},
title = {Upper bounds for certain trigonometric sums involving cosine powers},
url = {http://eudml.org/doc/284275},
volume = {141},
year = {2015},
}
TY - JOUR
AU - Anastasios D. Simalarides
TI - Upper bounds for certain trigonometric sums involving cosine powers
JO - Colloquium Mathematicae
PY - 2015
VL - 141
IS - 2
SP - 249
EP - 260
AB - We establish upper bounds for certain trigonometric sums involving cosine powers. Part of these results extend previous ones valid for the sum
$∑^{k-1}_{m=1} |sin(πrm/k)|/sin(πm/k)$.
We apply our results to estimate character sums in an explicit and elementary way.
LA - eng
KW - trigonometric sum; cosine powers; primitive character; character sum; Pólya-Vinogradov inequality
UR - http://eudml.org/doc/284275
ER -
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