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Abstract
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Using some new observations connected to higher energies, we obtain quantitative lower
bounds on
and
, where
, in the regime when the
sizes of the finite subsets
of a field differ significantly.
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Keywords
sum-product, expanders, exponential sums
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Mathematical Subject Classification 2010
Primary: 11B30, 11P70
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Milestones
Received: 1 December 2017
Published: 11 August 2018
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