A Few Finite Trigonometric Sums

Chandan Datta and Pankaj Agrawal
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Chandan Datta: Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India
Pankaj Agrawal: Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India

Mathematics, 2017, vol. 5, issue 1, 1-11

Abstract: Finite trigonometric sums occur in various branches of physics, mathematics, and their applications. These sums may contain various powers of one or more trigonometric functions. Sums with one trigonometric function are known; however, sums with products of trigonometric functions can become complicated, and may not have a simple expression in a number of cases. Some of these sums have interesting properties, and can have amazingly simple values. However, only some of them are available in the literature. We obtain a number of such sums using the method of residues.

Keywords: series sum; complex variables; residue theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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