Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jacobi and Kummer's Ideal Numbers   In this article we give a modern interpretation of Kummer's ideal numbers and
show how they developed from Jacobi's work on cyclotomy, in particular the
methods for studying "Jacobi sums" which he presented in his lectures on number
theory and cyclotomy in the winter semester 1836/37.

7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
3
The categories of this paper are: physics