Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Number Field Sieve with Provable Complexity   In this thesis we give an in-depth introduction to the General Number Field
Sieve, as it was used by Buhler, Lenstra, and Pomerance, before looking at one
of the modern developments of this algorithm: A randomized version with
provable complexity. This version was posited in 2017 by Lee and Venkatesan and
will be preceded by ample material from both algebraic and analytic number
theory, Galois theory, and probability theory.

12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom