Skip to main content
  • 216 Accesses

Abstract

In this chapter, we first present the Selberg sieve in a fashion similar to what we did up to now. In passing, we shall extend the Selberg sieve to the case of non-squarefree sifting sets, as was already done in (Selberg, 1976), but our setting will also carry through to sieving sequences and not only sets. Furthermore, this setting will enable us to compare the three different approaches: via the large sieve inequality, via local models or via the Selberg sieve.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 38.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Hindustan Book Agency

About this chapter

Cite this chapter

Ramaré, O. (2009). The Selberg sieve. In: Ramana, D.S. (eds) Arithmetical Aspects of the Large Sieve Inequality. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-40-8_12

Download citation

Publish with us

Policies and ethics