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 ...
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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