For gamma sufficiently close to 1, Piatetski-Shapiro primes satisfy discorrelation with nilsequences, giving asymptotics for finite-complexity linear systems and infinitely many k-term APs when gamma exceeds 1 minus 2 to the minus Ck.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2026 2verdicts
UNVERDICTED 2representative citing papers
U^k(Φ)-uniform sets contain rich families of infinite sumsets whose structure scales with k, subject to higher-order parity obstructions coming from nilsystems.
citing papers explorer
-
Linear equations in Piatetski-Shapiro primes
For gamma sufficiently close to 1, Piatetski-Shapiro primes satisfy discorrelation with nilsequences, giving asymptotics for finite-complexity linear systems and infinitely many k-term APs when gamma exceeds 1 minus 2 to the minus Ck.
-
Infinite sumsets in $U^k(\Phi)$-uniform sets
U^k(Φ)-uniform sets contain rich families of infinite sumsets whose structure scales with k, subject to higher-order parity obstructions coming from nilsystems.