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 - ...

Universality theorems occupy a central role in analytic number theory, demonstrating that families of analytic functions—including the prototypical Riemann zeta-function—can approximate an extensive ...

The functional equation for $\zeta(s)$ is used to obtain formulas for all derivatives $\zeta^{(k)}(s)$. A closed form evaluation of $\zeta^{(k)}(0)$ is given, and ...