An improved sum-product inequality in fields of prime order
By M. Rudnev. 2010
61 citations recorded by the source corpus.
This note improves the best known exponent 1/12 in the prime field sum-product inequality (for small sets) to 1/11, modulo a logarithmic factor.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/a98c5adc5e96f4c20b4dcc69feedb3c728ff191c
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In Algebra and Number Theory
- Ilya D. Shkredov
- Brendan Murphy
- E. Yazici
- Oliver Roche-Newton
- M. Rudnev
- Tom Sanders
- Ben Joseph Green
In Discrete Mathematics and Combinatorics
- Ilya D. Shkredov
- M. Rudnev
- Brendan Murphy
- Oliver Roche-Newton
- E. Yazici
- Sophie Stevens
- Frank de Zeeuw
- Tom Sanders
Citations in the corpus
- New sum-product type estimates over finite fields (2014, result): “This is a considerable improvement over the previously established best results in [17], [14], which were based on purely arithmetic techniques.”
- Growth Estimates in Positive Characteristic via Collisions (2015, methodology): “Further developing the so-called additive pivot technique from the latter work, several quantitative estimates on ǫ have been obtained by various authors, the best one vindicating any ǫ < 1/11 in [24], see also the references contained therein.”