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Sum-product Estimates in Finite Fields via Kloosterman Sums

Derrick Hart, Alex Iosevich, József Solymosi

International Mathematics Research Notices · 2007 · 58 citations · 12 references

DOI

Concepts

Abstract

We establish improved sum-product bounds in finite fields using incidence theorems based on bounds for classical Kloosterman and related sums.

References

12

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A sum-product estimate in finite fields, and applications

Jean Bourgain, Nets Hawk Katz, Terence Tao · Geometric and Functional Analysis · 2004 · 377 citations

, , +7

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György Elekes · Acta Arithmetica · 1997 · 202 citations · Full text

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ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER

Jean Bourgain, A. A. Glibichuk, Sergeĭ Konyagin · Journal of the London Mathematical Society · 2006 · 192 citations

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Erdös distance problem in vector spaces over finite fields

Alex Iosevich, M. Rudnev · Transactions of the American Mathematical Society · 2007 · 161 citations · Full text

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