Rocky Mountain Journal of Mathematics

Reciprocal relations for trigonometric sums

Wenchang Chu

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By means of the partial fraction decomposition method, a general reciprocal theorem on trigonometric sums is established. Several trigonometric reciprocities and summation formulae are derived as consequences.

Article information

Rocky Mountain J. Math., Volume 48, Number 1 (2018), 121-140.

First available in Project Euclid: 28 April 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11L03: Trigonometric and exponential sums, general
Secondary: 33B10: Exponential and trigonometric functions

Trigonometric sum reciprocal relation partial fraction decomposition


Chu, Wenchang. Reciprocal relations for trigonometric sums. Rocky Mountain J. Math. 48 (2018), no. 1, 121--140. doi:10.1216/RMJ-2018-48-1-121.

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