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Additive correlation and the inverse problem for the large sieve
Published online by Cambridge University Press: 09 July 2018
Abstract
Let A ⊆ [1, N] be a set of integers with |A| ≫ $\sqrt N$. We show that if A avoids about p/2 residue classes modulo p for each prime p, then A must correlate additively with the squares S = {n2 : 1 ≤ n ≤ $\sqrt N$}, in the sense that we have the additive energy estimate
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 168 , Issue 2 , March 2020 , pp. 211 - 217
- Copyright
- Copyright © Cambridge Philosophical Society 2018