A multi-dimensional Szemerédi theorem for the primes via a correspondence principle

2015/02/17 by Terence Tao, Tamar Ziegler · 3 citations
Mathematics · #Analytic Number Theory Research #Combinatorics #Discrete mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Mathematics #Number theory #Pseudorandom number generator #Pseudorandomness #Series (stratigraphy) #Statistics

paper · doi:10.1007/s11856-015-1157-9

crossref issued 2015/02/17 · crossref published 2015/02/17 · crossref published-online 2015/02/17 · openalex publication_date 2015/02/17 · crossref created 2015/02/17 · crossref published-print 2015/04/01 · crossref deposited 2019/08/20 · openalex created_date 2025/10/10 · crossref indexed 2026/03/07 · openalex updated_date 2026/07/23

Citations

• On sets of integers containing k elements in arithmetic progression
• The Gaussian primes contain arbitrarily shaped constellations
• The primes contain arbitrarily long arithmetic progressions

Cited by

• A Multidimensional Szemerédi Theorem in the Primes via Combinatorics
• Polynomial configurations in dense subsets of the prime lattice
• Green–Tao theorem [wikipedia]