The shifted primes and the multidimensional Szemeredi and polynomial van der Waerden theorems
Vitaly Bergelson, Alexander Leibman, and Tamar Ziegler
TL;DR
This paper refines multidimensional Szemeredi and polynomial van der Waerden theorems specifically along shifted primes, advancing understanding of combinatorial structures within prime number sequences.
Contribution
It introduces new refinements of key combinatorial theorems along shifted primes, a novel focus in this area.
Findings
Refined multidimensional Szemeredi theorem along shifted primes
Enhanced polynomial van der Waerden theorem for shifted primes
New combinatorial structures identified within prime sequences
Abstract
In this short note we establish new refinements of multidimensional Szemeredi and polynomial van der Waerden theorems along the shifted primes.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.