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On the Sums of Powers of Chebyshev Polynomials and Their Divisible Properties

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  • Lan Zhang
  • Wenpeng Zhang

Abstract

The main purpose of this paper is using mathematical induction and the Girard and Waring formula to study a problem involving the sums of powers of the Chebyshev polynomials and prove some divisible properties. We obtained two interesting congruence results involving Fibonacci numbers and Lucas numbers as some applications of our theorem.

Suggested Citation

  • Lan Zhang & Wenpeng Zhang, 2017. "On the Sums of Powers of Chebyshev Polynomials and Their Divisible Properties," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-6, December.
    • Handle: RePEc:hin:jnlmpe:9363680
    DOI: 10.1155/2017/9363680
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