Erratum to ``The primes contain arbitrarily long polynomial progressions

DOI10.1007/s11511-013-0097-7zbMath1295.11013arXiv1409.1327OpenAlexW2035631064WikidataQ56689355 ScholiaQ56689355MaRDI QIDQ362063

Tamar Ziegler, Terence C. Tao

Publication date: 20 August 2013

Published in: Acta Mathematica, Analytic Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1327

zbMATH Keywords

polynomial progressionsenveloping sievedensification methodpolynomial progression

Mathematics Subject Classification ID

Related Items (8)

Uniformity norms, their weaker versions, and applications ⋮ A view on multiple recurrence ⋮ On Systems of Complexity One in the Primes ⋮ The most likely common difference of arithmetic progressions among primes ⋮ POLYNOMIAL PATTERNS IN THE PRIMES ⋮ Asymptotics for some polynomial patterns in the primes ⋮ The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments ⋮ Joint ergodicity of fractional powers of primes

Cites Work

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• The primes contain arbitrarily long polynomial progressions
• Intersective polynomials and the polynomial Szemerédi theorem
• Linear equations in primes
• Intersective polynomials and the primes
• A relative Szemerédi theorem
• Primes in tuples IV: Density of small gaps between consecutive primes
• Decompositions, approximate structure, transference, and the Hahn-Banach theorem
• Weakly mixing PET
• On the distribution of primes in short intervals
• The existence of small prime gaps in subsets of the integers
• Polynomial extensions of van der Waerden’s and Szemerédi’s theorems

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