Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A family of Eta Quotients and an Extension of the Ramanujan-Mordell
  Theorem   Let $k\geq 2$ be an integer and $j$ an integer satisfying $1\leq j \leq
4k-5$. We define a family $\{ C_{j,k}(z) \}_{1\leq j \leq 4k-5} $ of eta
quotients, and prove that this family constitute a basis for the space $S_{2k}
(\Gamma_0 (12))$ of cusp forms of weight $2k$ and level $12$. We then use this
basis together with certain properties of modular forms at their cusps to prove
an extension of the Ramanujan-Mordell formula.

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th