Rocky Mountain Journal of Mathematics

Reciprocal relations for trigonometric sums

Wenchang Chu

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Abstract

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

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

Dates
First available in Project Euclid: 28 April 2018

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1524880884

Digital Object Identifier
doi:10.1216/RMJ-2018-48-1-121

Mathematical Reviews number (MathSciNet)
MR3795736

Zentralblatt MATH identifier
06866703

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

Keywords
Trigonometric sum reciprocal relation partial fraction decomposition

Citation

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. https://projecteuclid.org/euclid.rmjm/1524880884


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