The large sieve revisited
Volume 214 / 2024
Acta Arithmetica 214 (2024), 377-387
MSC: Primary 11N35; Secondary 11R32
DOI: 10.4064/aa230704-1-11
Published online: 7 February 2024
Abstract
We interpret the large sieve inequality as essentally a character-theoretic inequality on the Prüfer group $\widehat {\mathbb {Z}}$. This perspective allows us to formulate a general “profinite sieve”.
