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NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS

  • Published:2019-01 Issue:3 Volume:65 Page:588-642
  • ISSN:0025-5793
  • Container-title:Mathematika
  • language:en
  • Short-container-title:Mathematika

Author:

Murphy Brendan1,Petridis Giorgis2,Roche‐Newton Oliver3,Rudnev Misha4,Shkredov Ilya D.567

Affiliation:

1. University of Bristol, Heilbronn Institute of Mathematical Research, School of Mathematics University Walk Bristol BS8 1TW UK

2. Department of Mathematics University of Georgia Athens GA 30602 USA

3. Johann Radon Institute for Computational and Applied Mathematics (RICAM) 69 Altenberger Straße 4040 Linz Austria

4. University of Bristol, School of Mathematics University Walk Bristol BS8 1TW UK

5. Steklov Mathematical Institute ul. Gubkina, 8 Moscow 119991 Russia

6. IITP RAS Bolshoy Karetny per. 19 Moscow 127994 Russia

7. MIPT Institutskii per. 9 Dolgoprudnii 141701 Russia

Funder

National Science Foundation

Publisher

Wiley

Subject

General Mathematics

Reference58 articles.

1. Growth estimates in positive characteristic via collisions;Aksoy Yazici E.;Int. Math. Res. Not. IMRN,2017

2. Another sum‐product estimate in finite fields;Balog A.;Proc. Steklov Inst. Math,2013

3. Expanders with superquadratic growth;Balog A.;Electron. J. Combin,2017

4. Extracting randomness using few independent sources;Barak B.;SIAM J. Comput,2006

5. Group actions and geometric combinatorics in F q d;Bennett M.;Forum Math,2017

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