This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers of moderate length. A section called Shorter ...

Suppose $n: R^+ \rightarrow R^+$ and $n(x)/x$ is integrable on $(0, \infty)$. For $s > 0$ we define $$\tilde{n}(s) = s \int^\infty_0 \frac{e^{-us}}{1 - e^{-us}} n(u ...