Upper bounds for certain trigonometric sums involving cosine powers

• Autorzy: Anastasios D. Simalarides
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11L40: Estimates on character sums
• 11L03: Trigonometric and exponential sums, general
• 42A05: Trigonometric polynomials, inequalities, extremal problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 141
• Numer: 2
• Strony: 249-260

Daty

wydano

2015

Twórcy

autor

Anastasios D. Simalarides

• 196 Kifissias Street, Kifissia 14562, Attica, Greece

Identyfikatory

DOI

10.4064/cm141-2-9