Skip to Main content Skip to Navigation
New interface

Roth's theorem on 3-arithmetic progressions in the integers

Anne de Roton 1, * 
Abstract : The first part of this notes is devoted to the proof of Roth's theorem on arithmetic progressions in the integers whereas a second part gives some short survey on the analogue of Roth's theorem in some infinite subsets of integers of zero density such as the subset of prime numbers. We tried to give the reader all the details needed in the first part so that a master student can read Roth's theorem proof easily. In the second part, some proofs are only sketched and we rather tried to give an idea of the issues specific to zero density subsets than to explain precisely how all the arguments work.
Document type :
Complete list of metadata
Contributor : Anne De Roton Connect in order to contact the contributor
Submitted on : Tuesday, March 31, 2015 - 11:17:59 AM
Last modification on : Saturday, October 16, 2021 - 11:18:03 AM
Long-term archiving on: : Tuesday, April 18, 2017 - 6:03:20 AM


  • HAL Id : cel-00963631, version 2



Anne de Roton. Roth's theorem on 3-arithmetic progressions in the integers. 3rd cycle. Shillong - Inde, France. 2013, pp.22. ⟨cel-00963631v2⟩



Record views


Files downloads