Amplification arguments for large sieve inequalities
Number Theory
2010-03-16 v2
Abstract
We present a new proof of the "arithmetic" large sieve inequality, starting from the corresponding "harmonic" inequality, which is based on an amplification idea. We show that this also adapts to give some new sieve inequality for modular forms, where Hecke eigenvalues are thought as the analogues of the reductions of integers modulo primes.
Keywords
Cite
@article{arxiv.0911.2020,
title = {Amplification arguments for large sieve inequalities},
author = {Emmanuel Kowalski},
journal= {arXiv preprint arXiv:0911.2020},
year = {2010}
}
Comments
13 pages, 1 figure; v2, version accepted for publication in Archiv der Math.