Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sums of squares in function fields over Henselian local fields   We give upper bounds for the level and the Pythagoras number of function
fields over fraction fields of integral Henselian excellent local rings. In
particular, we show that the Pythagoras number of $\mathbb{R}((x_1,\dots,x_n))$
is $\leq 2^{n-1}$, which answers positively a question of Choi, Dai, Lam and
Reznick.

29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom