Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The non-existence of cubic Legendre multiplier sequences   The main result in this paper is the proof of the recently conjectured
non-existence of cubic Legendre multiplier sequences. We also give an
alternative proof of the non-existence of linear Legendre multiplier sequences,
using a method that will allow for a more methodical treatment of sequences
interpolated by higher degree polynomials.

24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int