Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One valued primitives and the F. and M. Riesz theorem   For a non-simply connected domain Omega in C and f a holomorphic function on
Omega we prove that f admits one-valued primitives of any order in Omega, if
and only if, it extends holomorphically in the simply connected envelope of
Omega . This leads to a generalization of the F. and M. Riesz theorem.

12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
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The categories of this paper are: stat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga