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Explicit sum-product theorems for large subsets of \( \mathbb{F} \) p

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Abstract

In this note, we use ‘classical’ methods to obtain sum-product theorems for subsets A⊂\( \mathbb{F} \) p .

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References

  1. M. Z. Garaev: An explicit sum-product estimate in \( \mathbb{F} \)p, Int. Math. Res. Notices2007 (2007), #rnm035 (11 pages).

  2. D. Hart, A. Iosevich and J. Solymosi: Sum-product estimates in finite fields via Kloosterman sums, Int. Math. Res. Notices2007 (2007), #rnm007 (14 pages).

  3. V. H. Vu: Sum-product estimates via directed expanders, Mathematical Research Letters15 (2008), 375–388.

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Authors and Affiliations

  1. Mathematics Department, University of California, Riverside Surge Bldg, Big Springs Rd., Riverside, CA, 92521, USA

    Mei-Chu Chang

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  1. Mei-Chu Chang
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Correspondence to Mei-Chu Chang.

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Research partially financed by the National Science Foundation.

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Chang, MC. Explicit sum-product theorems for large subsets of \( \mathbb{F} \) p . Combinatorica 29, 629–635 (2009). https://doi.org/10.1007/s00493-009-2424-3

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  • DOI: https://doi.org/10.1007/s00493-009-2424-3

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