Reciprocal relations for trigonometric sums

Wenchang Chu

doi:10.1216/RMJ-2018-48-1-121

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Home > Journals > Rocky Mountain J. Math. > Volume 48 > Issue 1 > Article

2018 Reciprocal relations for trigonometric sums

Wenchang Chu

Rocky Mountain J. Math. 48(1): 121-140 (2018). DOI: 10.1216/RMJ-2018-48-1-121

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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.

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Wenchang Chu. "Reciprocal relations for trigonometric sums." Rocky Mountain J. Math. 48 (1) 121 - 140, 2018. https://doi.org/10.1216/RMJ-2018-48-1-121