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 ...
In this article we will study the spectral properties of a deterministic signal exponentially damped in the past and in the future (the damping in the future is controlled by a time constant). The ...
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 ...
A mean value theorem for $\arg L(1/2 + i(t + h), \chi) - \arg L(1/2 + it, \chi)$ is established. This yields mean estimates for the number of zeros of L(s, χ) in small boxes. Journal Information This ...
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