Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond odious and evil   In a recent post on the Seqfan list the third author proposed a conjecture
concerning the summatory function of odious numbers (i.e., of numbers whose sum
of binary digits is odd), and its analog for evil numbers (i.e., of numbers
whose sum of binary digits is even). We prove these conjectures here. We will
also study the sequences of "generalized" odious and evil numbers, and their
iterations, giving in particular a characterization of the sequences of usual
odious and evil numbers in terms of functional equations satisfied by their
compositions.

20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas