Add to ORKGWe improve the quantitative estimate for Roth's theorem on three-term arithmetic progressions, showing that if ⊂{1,...,} contains no non-trivial three-term arithmetic progressions, then ||≪(loglog)4/log . By the same method, we also improve the bounds in the analogous problem over [] and for the problem of finding long arithmetic progressions in a sumset
In this thesis we study the generalisation of Roth’s theorem on three term arithmetic progressions t...
We show that any set containing a positive proportion of the primes contains a 3-term arithmetic pro...
In 1936, Erdős–Turán conjectured that any set of integers with positive upper density contains arbit...
We give a new proof of logarithmic bounds for Roth's theorem on arithmetic progressions, namely that...
We give a new proof of logarithmic bounds for Roth's theorem on arithmetic progressions, namely that...
We give a new proof of logarithmic bounds for Roth's theorem on arithmetic progressions, namely that...
We give a new proof of logarithmic bounds for Roth's theorem on arithmetic progressions, namely that...
Title: Roth's theorem on arithmetic progressions Author: Michal Krkavec Department: Department of Ap...
Logarithmic bounds for Roth's theorem via almost-periodicity, Discrete Analysis 2019:4, 20pp. A cen...
3rd cycleThe first part of this notes is devoted to the proof of Roth's theorem on arithmetic progre...
Varnavides proved, as a result of Roth’s theorem, a lower bound on the number of three term arithmet...
For any finite set B and a subset A⊆B, we define the density of A in B to be the value α=|A|/|B|. Ro...
We show that any set containing a positive proportion of the primes contains a 3-term arithmetic pro...
In a recent breakthrough Kelley and Meka proved a quasipolynomial upper bound for the density of set...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
In this thesis we study the generalisation of Roth’s theorem on three term arithmetic progressions t...
We show that any set containing a positive proportion of the primes contains a 3-term arithmetic pro...
In 1936, Erdős–Turán conjectured that any set of integers with positive upper density contains arbit...
We give a new proof of logarithmic bounds for Roth's theorem on arithmetic progressions, namely that...
We give a new proof of logarithmic bounds for Roth's theorem on arithmetic progressions, namely that...
We give a new proof of logarithmic bounds for Roth's theorem on arithmetic progressions, namely that...
We give a new proof of logarithmic bounds for Roth's theorem on arithmetic progressions, namely that...
Title: Roth's theorem on arithmetic progressions Author: Michal Krkavec Department: Department of Ap...
Logarithmic bounds for Roth's theorem via almost-periodicity, Discrete Analysis 2019:4, 20pp. A cen...
3rd cycleThe first part of this notes is devoted to the proof of Roth's theorem on arithmetic progre...
Varnavides proved, as a result of Roth’s theorem, a lower bound on the number of three term arithmet...
For any finite set B and a subset A⊆B, we define the density of A in B to be the value α=|A|/|B|. Ro...
We show that any set containing a positive proportion of the primes contains a 3-term arithmetic pro...
In a recent breakthrough Kelley and Meka proved a quasipolynomial upper bound for the density of set...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
In this thesis we study the generalisation of Roth’s theorem on three term arithmetic progressions t...
We show that any set containing a positive proportion of the primes contains a 3-term arithmetic pro...
In 1936, Erdős–Turán conjectured that any set of integers with positive upper density contains arbit...