Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arithmetic of characteristic p special L-values (with an appendix by V.
  Bosser)   Recently the second author has associated a finite $\F_q[T]$-module $H$ to
the Carlitz module over a finite extension of $\F_q(T)$. This module is an
analogue of the ideal class group of a number field.
  In this paper we study the Galois module structure of this module $H$ for
`cyclotomic' extensions of $\F_q(T)$. We obtain function field analogues of
some classical results on cyclotomic number fields, such as the $p$-adic class
number formula, and a theorem of Mazur and Wiles about the Fitting ideal of
ideal class groups. We also relate the Galois module $H$ to Anderson's module
of circular units, and give a negative answer to Anderson's
Kummer-Vandiver-type conjecture.
  These results are based on a kind of equivariant class number formula which
refines the second author's class number formula for the Carlitz module.

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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: math-ph
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: cs