摘要:It is known that certain convolution sums can be expressed as a combination of divisor functions and Bernoulli formula. One of the main goals in this paper is to establish combinatoric convolution sums for the divisor sums σ ˆ s ( n ) = ∑ d n ( − 1 ) n d − 1 d s . Finally, we find a formula of certain combinatoric convolution sums and Bernoulli polynomials. MSC:11A05, 33E99.