Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decoupling inequalities and some mean-value theorems   The purpose of this paper is to present some further applications of the
general decoupling theory from [B-D1, 2] to certain diophantine issues. In
particular, we concider mean value estimates relevant to the Bombieri-Iwaniec
approach to exponential sums and arising in the work of Robert and Sargos
[R-S]. Our main input is a new mean value theorem.

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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
3
The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph