Archiv der Mathematik

, Volume 94, Issue 5, pp 443–457 | Cite as

Amplification arguments for large sieve inequalities

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Abstract

We give a new proof of the arithmetic large sieve inequality based on an amplification argument, and use a similar method to prove a new sieve inequality for classical holomorphic cusp forms. A sample application of the latter is also given.

Mathematics Subject Classification (2000)

Primary 11N35 11F11 

Keywords

Large sieve inequality Modular form Amplification 

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Copyright information

© Birkhäuser / Springer Basel AG 2010

Authors and Affiliations

  1. 1.ETH Zürich, D-MATHZürichSwitzerland

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