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COMBINATORIC CONVOLUTION SUMS CONTAINING σ AND OF THE FORM 2mp
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  • Journal title : Honam Mathematical Journal
  • Volume 36, Issue 3,  2014, pp.647-657
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2014.36.3.647
 Title & Authors
COMBINATORIC CONVOLUTION SUMS CONTAINING σ AND OF THE FORM 2mp
Kim, Daeyeoul; Park, Joongsoo;
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 Abstract
In this paper, we study combinatoric convolution sums of divisor functions and get values of this sum when $n
 Keywords
Bernoulli polynomials;Euler polynomials;convolution sums;divisor functions;
 Language
English
 Cited by
 References
1.
A. Bayad, N. Y. Ikikardes and D. Kim, Certain combinatoric convolution sums and their relations to Bernoulli and Euler polynomials, submitted.

2.
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3.
B. Cho, D. Kim and H. Park, Evaluation of a certain combinatorial convolution sum in higher level cases, J. Math. Anal. Appl. 406 (2013), 203-210. crossref(new window)

4.
B. Cho, D. Kim and H. Park, Certain combinatorial convolution sums for divisor functions and Bernoulli numbers, Accepted to Bul. Korean Math. Soc.

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W. Chu, R. R. Zhou, Convolutions of Bernoulli and Euler polynomials, Sarajevo J. Math. 6(18) (2010), 147-163.

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D. Kim and A. Bayad, Convolution identities for twisted Eisenstein series and twisted divisor functions, Fixed Point Theory and Applications, 2013(81) (2013).

7.
D. Kim, A. Bayad and J. Park, Euler polynomials and combinatoric convolution sums of divisor functions with even indices, Abstract and Applied Analysis, accepted and to be published.

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S. Ramanujan, On certain arithmetical functions, Trans. Cambridge Philos. Soc., 22 (1916), 159-184.

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H. M. Srivastava and A. Pinter, Remarks on some relationships between the Bernoulli and Euler polynomials, Appl. Math. Lett., 17 (2004), 375-380. crossref(new window)