Asymptotic Behavior of Cosine Power Sums (Open)

Summary: A rigorous proof is sought for the conjectured asymptotic formula $\sum_{k=1}^{\lfloor \frac{n-1}{2} \rfloor} \cos^p(k \pi/n)$.

Classification: Primary, Classical Analysis; Secondary, Asymptotic Expansions

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Mircea Merca
Department of Informatics
Constantin Istrati Technical College
Grivietei 91, 105600 Campina
Romania
Email: [email protected] Phone: 00440766512278

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