Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representing Sets with Sums of Triangular Numbers   We investigate here sums of triangular numbers $f(x):=\sum_i b_i T_{x_i}$
where $T_n$ is the $n$-th triangular number. We show that for a set of positive
integers $S$ there is a finite subset $S_0$ such that $f$ represents $S$ if and
only if $f$ represents $S_0$. However, computationally determining $S_0$ is
ineffective for many choices of $S$. We give an explicit and efficient
algorithm to determine the set $S_0$ under certain Generalized Riemann
Hypotheses, and implement the algorithm to determine $S_0$ when $S$ is the set
of all odd integers.

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The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
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The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat