You are cordially invited to the Number Theory Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Tomos Parry (Bilkent)<\/p>\n
\u201d The Brun-Hooley sieve\u201d<\/p>\n
Abstract:
\nIn the first two seminars in this mini seminar series on sieves we discussed the classical sieve of Eratosthenes-Legendre (applying Inclusion-Exclusion to sets of multiples of primes) and then discussed Brun\u2019s sieve (a truncation of Inclusion-Exclusion). This was strong enough to prove for example the series of reciprocals of prime twins
\n\u2211_(prime twins)\u25921\/p converges.<\/p>\n
This is probably the highlight of Brun\u2019s sieve in this simple form, however refinements of the sieve allow more. These refinements are quite complicated, but Hooley found a simplification that delivers pretty much the same thing.
\nSo this week we\u2019ll discuss the Brun-Hooley sieve.<\/p>\n
Date: Friday, May 9, 2025
\nTime: 19:00
\nPlace: SB-Z11<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Number Theory Seminar organized by the Department of Mathematics. Speaker: Tomos Parry (Bilkent) \u201d The Brun-Hooley sieve\u201d Abstract: In the first two seminars in this mini seminar series on sieves we discussed the classical sieve of Eratosthenes-Legendre (applying Inclusion-Exclusion to sets of multiples of [\u2026] <\/p>\n