Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quelques classes caracteristiques en theorie des nombres   Let A be an arbitrary ring. We introduce a Dennis trace map mod n, from
K_1(A;Z/n) to the Hochschild homology group with coefficients HH_1(A;Z/n). If A
is the ring of integers in a number field, explicit elements of K_1(A,Z/n) are
constructed and the values of their Dennis trace mod n are computed. If F is a
quadratic field, we obtain this way non trivial elements of the ideal class
group of A. If F is a cyclotomic field, this trace is closely related to Kummer
logarithmic derivatives; this trace leads to an unexpected relationship between
the first case of Fermat last theorem, K-theory and the number of roots of
Mirimanoff polynomials.

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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: cs