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A Few Finite Trigonometric Sums

Author

Listed:
  • Chandan Datta

    (Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India
    Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400085, India)

  • Pankaj Agrawal

    (Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India
    Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400085, India)

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.

Suggested Citation

  • Chandan Datta & Pankaj Agrawal, 2017. "A Few Finite Trigonometric Sums," Mathematics, MDPI, vol. 5(1), pages 1-11, February.
    • Handle: RePEc:gam:jmathe:v:5:y:2017:i:1:p:13-:d:90760
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