Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arithmetic summable sequence space over non-Newtonian field   Recently Ruckle \cite{RuckleArithmeticalSummability} introduced the theory of
arithmetical summability suggested by the sum $ \sum_{k|m}f(k) $ as $ k $
ranges over the divisors of $m$ including $ 1 $ and $ m .$ Following Ruckle
\cite{RuckleArithmeticalSummability} we construct the sequence space $ AS(G) $
and $ AC(G) $ of arithmetic summable and arithmetic convergent sequences in the
sense of geometric calculus and derive interesting results in the geometric
field.

15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas