Additive properties of dense subsets of sifted sequences

By O. Ramaré, Imre Z. Ruzsa. 2001

46 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a4a981aabbe69eb0f90122bd2600ed17b52fbc29

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Terence Tao
2. T. Ziegler
3. Ben Joseph Green
4. Nikos Frantzikinakis
5. B. Host
6. William T. Gowers
7. Bryna Kra
8. Tom Sanders

In Geometry and Topology

1. Terence Tao
2. T. Ziegler
3. Ben Joseph Green
4. Nikos Frantzikinakis
5. Tom Sanders
6. B. Host
7. William T. Gowers
8. Ulrich Kohlenbach

In Mathematical Physics

1. Terence Tao
2. Ben Joseph Green
3. T. Ziegler
4. Nikos Frantzikinakis
5. Van H. Vu
6. Zihua Guo
7. D. Tataru
8. Carlos E. Kenig

Citations in the corpus

• The primes contain arbitrarily long polynomial progressions (2006, background): “The majorant ν acts as an “enveloping sieve” for the primes (or more precisely, for the primes equal to b modulo W ), in the sense of [26], [27].”
• The primes contain arbitrarily long arithmetic progressions (2004, background): “For another use of a majorant in an additive-combinatorial setting, see [33, 34].”