Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Races among products   We will revisit a 1987 question of Rabbi Ehrenpreis. Among many things, we
will provide an elementary injective proof that P_1(L,y,n)>=P_2(L,y,n) for any
L,n>0 and any odd y>1 . Here, P_1(L,y,n) denotes the number of partitions of n
into parts congruent to 1, y+2, or 2y mod 2(y+1) with the largest part not
exceeding 2(y+1)L-2 and P_2(L,y,n) denotes the number of partitions of n into
parts congruent to 2, y, or 2y+1 mod 2(y+1) with the largest part not exceeding
2(y+1)L-1.

36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas