Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted inversion of general Dirichlet series   Inversion theorems of Wiener type are essential tools in analysis and number
theory. We derive a weighted version of an inversion theorem of Wiener type for
general Dirichlet series from that of Edwards from 1957, and we outline an
alternative proof based on the duality theory of convex cones and extension
techniques for characters of semigroups. Variants and arithmetical applications
are described, including the case of multidimensional weighted generalized
Dirichlet series.

16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio