SU\G(𝔸)/K·U

The large sieve revisited

M. Ram Murty

Type: Article

Publication Date: 2024-01-01

Citations: 0

DOI: https://doi.org/10.4064/aa230704-1-11

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".

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Works Cited by This (10)

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+ Problems in Analytic Number Theory 2008 M. Ram Murty
+ PDF Chat The analytic principle of the large sieve 1978 Hugh L. Montgomery
+ A Bombieri-Vinogradov theorem for all number fields 2012 M. Ram Murty
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+ PDF Chat On a general theorem concerning the distribution of the residues and non-residues of powers 1927 J. M. Vinogradov
+ An explicit result of the sum of seven cubes 2007 Olivier Ramaré
+ PDF Chat Additive properties of dense subsets of sifted sequences 2001 Olivier Ramaré
Imre Z. Ruzsa
+ Spectral Methods of Automorphic Forms 2002 Henryk Iwaniec
+ Lectures on the Mordell-Weil Theorem 1997 Jean-Pierre Serre
+ An Introduction to Sieve Methods and Their Applications 2005 Alina Carmen Cojocaru
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