For the Epstein zeta function of an n-ary positive definite quadratic form, n - 1 generalizations of the Selberg-Chowla formula (for the binary case) are obtained. Further, it is shown that these n - ...

We prove that for a diffusion process the first-passage-time p.d.f. through a continuous-time function with bounded derivative satisfies a Volterra integral equation of the second kind whose kernel ...