The multinomial convolution sums of certain divisor functions

초록

In this article we first introduce some results about the binomial, trinomial, and quadrinomial convolution sums of certain divisor functions and then we provide an identity for the multinomial convolution sums of the divisor function sigma(vertical bar vertical bar)(T)(n) := Sigma(d vertical bar n)(n/d 1(4)) d(r) - (-1)(r) Sigma(n/d -1(4)) d(r). (C) 2016 Elsevier Inc. All rights reserved.

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