Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quotients of Hurwitz Primes   Quotient sets have attracted the attention of mathematicians in the past
three decades. The set of quotients of primes is dense in the positive real
numbers and the set of all quotients of Gaussian primes is also dense in the
complex plane. Sittinger has proved that the set of quotients of primes in an
imaginary quadratic ring is dense in the complex plane and the set of quotients
of primes in a real quadratic number ring is dense in R. An interesting open
question is introduced by Sittinger: Is the set of quotients of Hurwitz primes
dense in the quaternions? In this paper, we answer the question and prove that
the set of all quotients of Hurwitz primes is dense in the quaternions.

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The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin