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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Xuất bản mới
Lê Viết Cường, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Proportional local assignability of two-sided dichotomy spectrum of linear time-varying systems, Journal of Differential Equations Volume 477, 5 October 2026, 114592 .
Lê Tuấn Hoa, Doan Quang Tien, New bounds on Castelnuovo-Mumford regularity of monomial curves and application to sumsets, Journal of Pure and Applied Algebra Volume 230, Issue 9, September 2026, 108323 .
Trần Quang Hóa, Đỗ Trọng Hoàng, Le Van Dinh, Nguyễn Đăng Hợp, Thái Thành Nguyễn, Asymptotic depth of invariant chains of edge ideals, Journal of Combinatorial Theory, Series A Volume 224, November 2026, 106221 .