Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The zeta-regularized product of odious numbers   What is the product of all {\em odious} integers, i.e., of all integers whose
binary expansion contains an odd number of $1$'s? Or more precisely, how to
define a product of these integers which is not infinite, but still has a
"reasonable" definition? We will answer this question by proving that this
product is equal to $\pi^{1/4} \sqrt{2 \varphi e^{-\gamma}}$, where $\gamma$
and $\varphi$ are respectively the Euler-Mascheroni and the Flajolet-Martin
constants.

26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
3
The categories of this paper are: physics