Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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CERTAIN COMBINATORIC CONVOLUTION SUMS AND THEIR RELATIONS TO BERNOULLI AND EULER POLYNOMIALS

  • Kim, Daeyeoul (National Institute for Mathematical Sciences) ;
  • Bayad, Abdelmejid (Universite d'Evry Val d'Essonne Departement de mathematiques) ;
  • Ikikardes, Nazli Yildiz (Department of Elementary Mathematics Education Necatibey Faculty of Education Balikesir University)
  • Received : 2014.08.18
  • Published : 2015.05.01
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Abstract

In this paper, we give relationship between Bernoulli-Euler polynomials and convolution sums of divisor functions. First, we establish two explicit formulas for certain combinatoric convolution sums of divisor functions derived from Bernoulli and Euler polynomials. Second, as applications, we show five identities concerning the third and fourth-order convolution sums of divisor functions expressed by their divisor functions and linear combination of Bernoulli or Euler polynomials.

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References

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