Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic trace functions over the primes   We study sums over primes of trace functions of $\ell$-adic sheaves. Using an
extension of our earlier results on algebraic twist of modular forms to the
case of Eisenstein series and bounds for Type II sums based on similar
applications of the Riemann Hypothesis over finite fields, we prove general
estimates with power-saving for such sums. We then derive various concrete
applications.

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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: alg-geom