Erdős conjecture on arithmetic progressions

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Erdős conjecture on arithmetic progressions

The set of natural numbers contains a lot of arithmetic progressions, but if we consider smaller proper subsets ... Erdős-Turán conjecture: Let A be a subset of the. ,由 WT Gowers 著作 · 2013 · 被引用 10 次 — Two of Erdős's most famous conjectures concern arithmetic progressions. ... Arithmetic Progression Regularity Lemma Inverse Theorem Discrepancy Conjecture. ,Erdos Conjecture on arithmetic progressions ... Introduction: Let A be a subset of the naturals such that ∑n∈A1n=∞. The Erdos Conjecture states that A must have ... ,It states that if the sum of the reciprocals of the members of a set A of positive integers diverges, then A contains arbitrarily long arithmetic progressions. Formally, ... ,This conjecture is still open (unsolved), even for 3-term arithmetic progressions. Erdős also offered $10000 for an asymptotic formula for rho_3(n) , the largest ... ,The Erdős–Turán conjecture is an old unsolved problem in additive number theory (not to be confused with Erdős conjecture on arithmetic progressions) posed ... , ,The Erdős–Straus conjecture on the Diophantine equation 4/n = 1/x + 1/y + 1/z. The Erdős conjecture on arithmetic progressions in sequences with divergent ... ,Theorem 9.2.1 below gives a condition for the existence of near arithmetic progressions for any sequence on any interval / in which the density does not ... ,Erdős conjectured that the sequence of primes contains arbitrarily long arithmetic progressions and, even more, that every sequence 1≤a1<a2<... with ∑∞n=11a​ ...

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Erdős conjecture on arithmetic progressions 相關參考資料
Arithmetic progressions - The Abel Prize

The set of natural numbers contains a lot of arithmetic progressions, but if we consider smaller proper subsets ... Erdős-Turán conjecture: Let A be a subset of the.

https://www.abelprize.no

Erdős and Arithmetic Progressions | SpringerLink

由 WT Gowers 著作 · 2013 · 被引用 10 次 — Two of Erdős's most famous conjectures concern arithmetic progressions. ... Arithmetic Progression Regularity Lemma Inverse Theorem Discrepancy Conjecture.

https://link.springer.com

Erdos Conjecture on arithmetic progressions - MathOverflow

Erdos Conjecture on arithmetic progressions ... Introduction: Let A be a subset of the naturals such that ∑n∈A1n=∞. The Erdos Conjecture states that A must have ...

https://mathoverflow.net

Erdős conjecture on arithmetic progressions - Wikipedia

It states that if the sum of the reciprocals of the members of a set A of positive integers diverges, then A contains arbitrarily long arithmetic progressions. Formally, ...

https://en.wikipedia.org

Erdős-Turán Conjecture -- from Wolfram MathWorld

This conjecture is still open (unsolved), even for 3-term arithmetic progressions. Erdős also offered $10000 for an asymptotic formula for rho_3(n) , the largest ...

https://mathworld.wolfram.com

Erdős–Turán conjecture on additive bases - Wikipedia

The Erdős–Turán conjecture is an old unsolved problem in additive number theory (not to be confused with Erdős conjecture on arithmetic progressions) posed ...

https://en.wikipedia.org

Landmark Math Proof Clears Hurdle in Top Erdős Conjecture ...

https://www.quantamagazine.org

List of conjectures by Paul Erdős - Wikipedia

The Erdős–Straus conjecture on the Diophantine equation 4/n = 1/x + 1/y + 1/z. The Erdős conjecture on arithmetic progressions in sequences with divergent ...

https://en.wikipedia.org

Nonstandard methods and the Erdos-Turan conjecture

Theorem 9.2.1 below gives a condition for the existence of near arithmetic progressions for any sequence on any interval / in which the density does not ...

https://link.springer.com

The Erdős-Turán conjecture or the Erdős&#39; conjecture ...

Erdős conjectured that the sequence of primes contains arbitrarily long arithmetic progressions and, even more, that every sequence 1≤a1&lt;a2&lt;... with ∑∞n=11a​ ...

https://mathoverflow.net