Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rellich-Christianson type identities for the Neumann data mass of
  Dirichlet eigenfunctions on polytopes   We consider the Dirichlet eigenvalue problem on a simple polytope. We use the
Rellich identity to obtain an explicit formula expressing the Dirichlet
eigenvalue in terms of the Neumann data on the faces of the polytope of the
corresponding eigenfunction. The formula is particular simple for polytopes
admitting an inscribed ball tangent to all the faces. Our result could be
viewed as a generalization of similar identities for simplices recently found
by Christianson [1][2].

27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat