# Explicit constructions of extractors and expanders

```@article{Hegyvari2009ExplicitCO,
title={Explicit constructions of extractors and expanders},
author={Norbert Hegyv'ari and Françcois Hennecart},
journal={Acta Arithmetica},
year={2009},
volume={140},
pages={233-249}
}```
• Published 6 June 2012
• Mathematics
• Acta Arithmetica
We investigate 2-variable expanders and 3-source extractors in prime fields. We extend previous results of J. Bourgain.
34 Citations
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## References

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Like the previous paper of the same title [5] this note contains disconnected remarks on number theory.
MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
In this paper we establish new estimates on sum-product sets and certain exponential sums in finite fields of prime order. Our first result is an extension of the sum-product theorem from [8] when
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STOC '05
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The following new explicit instructions are given for the construction of deterministic extractors, dispersers and related objects for any fixed rate δ‹1⁄2 and no previous explicit construction was known for either of these.
SOME REMARKS ON NUMBER THEORY
This note contains some disconnected minor remarks on number theory . 1 . Let (1) Iz j I=1, 1<j<co be an infinite sequence of numbers on the unit circle . Put n s(k, n) _ z~, Ak = Jim sup I s(k, n)
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An asymptotic inequality in the theory of numbers