Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linearly dependent powers of binary quadratic forms   Given an integer $d \ge 2$, what is the least $r$ so that there is a set of
binary quadratic forms $\{f_1,\dots,f_r\}$ for which $\{f_j^d\}$ is
non-trivially linearly dependent?
  We show that if $r \le 4$, then $d \le 5$, and for $d \ge 4$, construct such
a set with $r = \lfloor d/2\rfloor + 2$.
  Many explicit examples are given, along with techniques for producing others.

27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics