Weighted Sylvester sums on the Frobenius set

Takao Komatsu, Yuan Zhang

Let $a$ and $b$ be relatively prime positive integers. In this paper the weighted sum ${\sum }_{n\in \mathrm{NR}(a,b)}{\lambda }^{n-1}{n}^m$ is given explicitly or in terms of the Apostol-Bernoulli…