Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Criteria for periodicity and an application to elliptic functions   Let P and Q be relatively prime integers greater than 1, and f a real valued
discretely supported function on a finite dimensional real vector space V. We
prove that if f_{P}(x)=f(Px)-f(x) and f_{Q}(x)=f(Qx)-f(x) are both
\Lambda-periodic for some lattice \Lambda\subset V, then so is f (up to a
modification at 0). This result is used to prove a theorem on the arithmetic of
elliptic function fields. In the last section we discuss the higher rank
analogue of this theorem and explain why it fails in rank 2. A full discussion
of the higher rank case will appear in a forthcoming work.

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The categories of this paper are: cs
28
The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
16
The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
24
The categories of this paper are: dg-ga