Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice invariants from the heat kernel   We derive lattice invariants from the heat flux of a lattice. Using systems
of harmonic polynomials, we obtain sums of products of spherical theta
functions which give new invariants of integer lattices which are modular
forms. In particular, we show that the modular forms $\Theta_{nn,\Lambda}$
depend only from lengths and angles in the lattice.

29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ