Szemerédi theorem

Erdős–Szemerédi theorem ... It is possible for A + A to be of comparable size to A if A is an arithmetic progression, an...

Szemerédi theorem

Erdős–Szemerédi theorem ... It is possible for A + A to be of comparable size to A if A is an arithmetic progression, and it is possible for A · A to be of comparable ... ,2007年7月9日 — Szemerédi's theorem states that any positive fraction of the positive integers will contain arbitrarily long arithmetic progressions a, a+r, a+2r, ...

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Szemerédi theorem 相關參考資料
Szemerédi's theorem - Wikipedia

https://en.wikipedia.org

Erdős–Szemerédi theorem - Wikipedia

Erdős–Szemerédi theorem ... It is possible for A + A to be of comparable size to A if A is an arithmetic progression, and it is possible for A · A to be of comparable ...

https://en.wikipedia.org

Szemerédi's Theorem - Scholarpedia

2007年7月9日 — Szemerédi's theorem states that any positive fraction of the positive integers will contain arbitrarily long arithmetic progressions a, a+r, a+2r, ...

http://www.scholarpedia.org

Szemerédi's proof of Szemerédi's theorem | SpringerLink

由 T Tao 著作 · 2020 · 被引用 4 次 — Abstract. In 1975, Szemerédi famously established that any set of integers of positive upper density contained arbitrarily long arithmetic ...

https://link.springer.com

A relative Szemerédi theorem | SpringerLink

由 D Conlon 著作 · 2015 · 被引用 51 次 — The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the primes. One of the main ingredients in ...

https://link.springer.com

Szemerédi's Theorem -- from Wolfram MathWorld

由 EW Weisstein 著作 · 2000 — Szemerédi's Theorem. Szemerédi's theorem states that every sequence of integers that has positive upper Banach density contains arbitrarily long arithmetic ...

https://mathworld.wolfram.com

A relative Szemer'edi theorem

由 D Conlon 著作 · 2013 · 被引用 51 次 — One of the main ingredients in their proof is a relative Szemerédi theorem which says that any subset of a pseudorandom set of integers of positive relative ...

https://arxiv.org

Szemer'edi's theorem in the primes

由 L Rimanic 著作 · 2017 · 被引用 1 次 — Mathematics > Number Theory. arXiv:1709.04719 (math). [Submitted on 14 Sep 2017]. Title:Szemerédi's theorem in the primes. Authors:Luka Rimanic, Julia ...

https://arxiv.org

A quantitative ergodic theory proof of Szemer'edi's theorem

由 T Tao 著作 · 2004 · 被引用 125 次 — Abstract: A famous theorem of Szemerédi asserts that given any density 0 < -delta -leq 1 and any integer k -geq 3, any set of integers with density -delta will .....

https://arxiv.org

A NEW PROOF OF SZEMERÉDI'S THEOREM W.T. Gowers ...

由 WT Gowers 著作 · 被引用 924 次 — A NEW PROOF OF SZEMERÉDI'S THEOREM. 467 of size at least δN contains an arithmetic progression of length k. It is very simple to see that this result ...

https://www.cs.umd.edu