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 ...

Let f(z) be any transcendental entire function. Let rk denote the absolute value of the zero zk of f(k)(z) which is nearest to the origin. Ålander, Erdös and Rényi, and Pólya have investigated the ...

This is a preview. Log in through your library . Abstract Assuming the Riemann Hypothesis, we prove that a positive proportion of the time, the gap between consecutive zeros of the Riemann ...