The least almost-prime in an arithmetic progression
Người báo cáo: Ngô Trung Hiếu
Time: 9:30 -- 11: 00, March 18, 2026
Venue: Room 612, A6, Institute of Mathematics-VAST
Abstract: Given an integer sequence, a basic quest in number theory is to count numbers in this sequence with interesting multiplicative properties, such as primes and almost-primes. Towards this goal, sieve methods are designed to combinatorially extract simple divisibility properties of a sequence and combine with analytic tools for estimating sums and integrals to yield the desired arithmetic information. In this talk, I will introduce fundamental sieve methods to count primes and almost-primes. I will describe our recent progress in estimating the least almost-prime in an arithmetic progression. This is joint work with Hà Minh Dũng and Hoàng Đức Anh.
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