Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hilbert polynomial of length functions   Let L be a general length function for modules over a Noetherian ring R. We
use L to define Hilbert series and polynomials for R[X]-modules. The leading
term of any such polynomial is an invariant of R[X]-modules, which refines the
algebraic entropy.

25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph