Student Number Theory Seminar

Michael Xu

Applications of large sieve in variance analysis

Due to its analytic nature, large sieve is considered one of the popular sieves in many number theory estimates, free from many combinatorial constraints. Thanks to the same reason, large sieve is also considered one of the difficult sieves as it lacks combinatorial nature and a proper visualization of sieving.

In this talk, I will attempt to showcase both characteristics of this sieve with applications, demonstrating its capability, in process of proving results about distribution of primes in arithmetic progression, namely Barban-Davenport-Halberstam bound.

MC 5403