Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials

摘要

In this paper, we provide two identities about binomial convolution sums of sigma(b)(r) (n; N/4, N) with N/4 is an element of N, which are expressed in terms of Euler and Bernoulli polynomials. A recent result of Kim, Bayad and Park turns out to be a special case of one of the two identities when N = 4.