Mathematics – Number Theory
Scientific paper
2009-11-10
Mathematics
Number Theory
13 pages, 1 figure; v2, version accepted for publication in Archiv der Math.
Scientific paper
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.
Kowalski Emmanuel
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