Number theory seminar
Speaker: D. Surya Ramana (Harish-Chandra Research Institute)
Host: Ravi Raghunathan
Title: The Large Sieve with sieving by prime powers.
Time, day and date: 11:30:00 AM, Friday, February 28
Venue: Ramanujan Hall
Abstract  The Large Sieve inequality for prime powers provides an upper 
bound for the cardinality of a subset of the integers in a real 
interval, given the cardinalities of the subsets of 
$\mathbb{Z}/p^{\nu}\mathbb{Z}$ in which the reduction of the set modulo 
$p^{\nu}$ are known to lie, for various primes powers $p^{\nu}$. We give 
a simple proof of this inequality via the principle of the Selberg 
sieve.