Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entire functions of exponential type represented by pseudo-random and
  random Taylor series   We study the influence of the multipliers $\xi (n)$ on the angular
distribution of zeroes of the Taylor series \[ F_\xi (z) = \sum_{n\ge 0} \xi
(n) \frac{z^n}{n!}\,. \] We show that the distribution of zeroes of $ F_\xi $
is governed by certain autocorrelations of the sequence $ \xi $. Using this
guiding principle, we consider several examples of random and pseudo-random
sequences $\xi$ and, in particular, answer some questions posed by Chen and
Littlewood in 1967.
  As a by-product we show that if $\xi$ is a stationary random integer-valued
sequence, then either it is periodic, or its spectral measure has no gaps in
its support. The same conclusion is true if $\xi$ is a complex-valued
stationary ergodic sequence that takes values from a uniformly discrete set.

25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat