Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial sums of random multiplicative functions and extreme values of a
  model for the Riemann zeta function   We consider partial sums of a weighted Steinhaus random multiplicative
function and view this as a model for the Riemann zeta function. We give a
description of the tails and high moments of this object. Using these we
determine the likely maximum of $T \log T$ independently sampled copies of our
sum and find that this is in agreement with a conjecture of
Farmer--Gonek--Hughes on the maximum of the Riemann zeta function. We also
consider the question of almost sure bounds. We determine upper bounds on the
level of squareroot cancellation and lower bounds which suggest a degree of
cancellation much greater than this which we speculate is in accordance with
the influence of the Euler product.

35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga