For rationally independent nonlinear polynomials, the set of n giving nearly independent intersections of a positive-density set has positive lower IP_rat density.
Multiple recurrence and popular differences for poly- nomial patterns in rings of integers
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
$\mathrm{IP}_{\mathrm{rat}}$-polynomial recurrence and large intersections
For rationally independent nonlinear polynomials, the set of n giving nearly independent intersections of a positive-density set has positive lower IP_rat density.