Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Artin $L$-functions of diagonal hypersurfaces and generalized
  hypergeometric functions over finite fields   We compute the Artin $L$-function of a diagonal hypersurface D_{\lambda} over
a finite field associated to a character of a finite group acting on
D_{\lambda} , and under some condition, express it in terms of hypergeometric
functions and Jacobi sums over the finite field. As an application, we consider
the Dwork hypersurfaces and obtain relations among certain hypergeometric
functions over different finite fields.

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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn