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Euler polynomials and combinatoric convolution sums of divisor functions with even indices

http://dx.doi.org/10.1155/2014/289187

In this article, we study combinatoric convolution sums of certain divisor functions involving even indices. We express them as a linear combination of divisor functions and Euler polynomials, and obtain identities. As applications of these identities, we give several concrete interpretations in terms of the procedural modelling method.?
In this article, we study combinatoric convolution sums of certain divisor functions involving even indices. We express them as a linear combination of divisor functions and Euler polynomials, and obtain identities. As applications of these identities, we give several concrete interpretations in terms of the procedural modelling method.?