Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...

We give a numerical criterion for a badly conditioned zero of a system of analytic equations to be part of a cluster of two zeros. Journal Information This journal, begun in 1943 as Mathematical ...

All complex zeros of each Hurwitz zeta function are shown to lie in a vertical strip. Trivial real zeros analogous to those for the Riemann zeta function are found. Zeros of two particular Hurwitz ...