Archiv der Mathematik

, Volume 94, Issue 5, pp 443–457

Amplification arguments for large sieve inequalities


DOI: 10.1007/s00013-010-0122-4

Cite this article as:
Kowalski, E. Arch. Math. (2010) 94: 443. doi:10.1007/s00013-010-0122-4


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 11N3511F11


Large sieve inequalityModular formAmplification

Copyright information

© Birkhäuser / Springer Basel AG 2010

Authors and Affiliations

  1. 1.ETH Zürich, D-MATHZürichSwitzerland