Abstract
The ‘hoe probability’ that a random entire function $$\psi (z) = \sum\limits_{k = 0}^\infty {\zeta _k \frac{{z^k }}{{\sqrt {k!} }}} ,$$ where ζ0, ζ1, ... are Gaussian i.i.d. random variables, has no zeroes in the disc of radiusr decays as exp(−cr 4) for larger.
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