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QUADRATIC POLYNOMIAL OF POWER SUMS AND ALTERNATING POWER SUMS

*Leomarich F Casinillo  -  , Philippines

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Abstract
This study aims to construct quadratic polynomials in n for power sums and alternating power sums of consecutive positive integers. In addition, this paper evaluated the said quadratic polynomials under odd and even terms of the series.
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Keywords: Quadratic polynomial, power sums, alternating power sums

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  1. Guy, R. (1982). Sums of consecutive integers. Fibonacci Quarterly, 20, 36–38
  2. LeVeque, W. J. (1982). On representations as a sum of consecutive integers, Canadian Journal of Mathematics, 2, 399–405
  3. Merca, M. (2014). An alternative to Faulhaber’s formula. The American Mathematical Monthly, 122(6), 599-601
  4. Howard F. T. (1996). Sums of powers of integers via generating functions. Fibonacci Quarterly, 34, 244-256
  5. Harman, G. (1991). Sums of two squares in short intervals. Proceeding of London Mathematical Society, 6, 225-241
  6. Bambah R. P. and Chowla S. (1947). On numbers which can be express as a sum of two squares. Pro. Nat. Acad. Sci. India, 13, 101-103
  7. Marin, M. (1999). An evolutionary equation in thermoelasticity of dipolar bodies. Journal of Mathematical Physics, 40(3), 1391-1399
  8. Marin, M. (1998). Contributions on Uniqueness in thermoelastodynamics on bodies with voids. Ciencias Mathematicas (Havana), 16(2), 101-109
  9. Bennett, M. A. (2011). A super-elliptic equation involving alternating sums of powers. Publ. Math. Debrecen, 79, 317–324
  10. Bazso ́, A. (2013). On alternating power sums of arithmetic progressions. Integral Transforms Spec. Funct, 24, 945–949
  11. Bazso ́, A. (2015). Polynomial values of (alternating) power sums. Acta Math. Hungary, 146, 202–219

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