Partial fractions and trigonometric identities
type: Item
instance of: scholarly article
title: Partial fractions and trigonometric identities
zbMATH Open document ID: 0944.33001
author: Alberto Marini
author: Wenchang Chu
published in: Advances in Applied Mathematics
publication date: 2000-09-18T00:00:00Z
review text: The authors investigate systematically trigonometric summations over the angles equally divided on the upper half plane. A typical example is the sum \(\sum^{n-1}_{k=0} \tan^{2p} ({k\pi\over n})\). For 24 different such sums \(S_p(n)\), they compute the generating function and give the expression of \(S_p(n)\) as a polynomial in \(n\) and \(p\).
Mathematics Subject Classification ID: 33B10
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 11B65
zbMATH DE Number: 1319708
zbMATH Keywords: binomial identities
zbMATH Keywords: trigonometric summations
reviewed by: Daniel Duverney
MaRDI profile type: Publication
OpenAlex ID: W2027274761
DOI: 10.1006/AAMA.1998.0635
description: scientific article; zbMATH DE number 1319708