Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On digits of Mersenne numbers   Motivated by recently developed interest to the distribution of $q$-ary
digits of Mersenne numbers $M_p = 2^p-1$, where $p$ is prime, we estimate
rational exponential sums with $M_p$, $p \leq X$, modulo a large power of a
fixed odd prime $q$. In turn this immediately implies the normality of strings
of $q$-ary digits amongst about $(\log X)^{3/2+o(1)}$ rightmost digits of
$M_p$, $p \leq X$. Previous results imply this only for about $(\log
X)^{1+o(1)}$ rightmost digits.

13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph