Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sigma function solution of the initial value problem for Somos 5
  sequences   The Somos 5 sequences are a family of sequences defined by a fifth order
bilinear recurrence relation with constant coefficients. For particular choices
of coefficients and initial data, integer sequences arise. By making the
connection with a second order nonlinear mapping with a first integral, we
prove that the two subsequences of odd/even index terms each satisfy a Somos 4
(fourth order) recurrence. This leads directly to the explicit solution of the
initial value problem for the Somos 5 sequences in terms of the Weierstrass
sigma function for an associated elliptic curve.

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas