Goldbach Representations of an integer as a Sum of many primes

Người báo cáo: Nguyễn Thị Thu (Học viện Công nghệ Bưu chính Viễn thông)

Time: 9:30 -- 11: 00, October 08, 2025
VenueRoom 612, A6, Institute of Mathematics-VAST
AbstractGoldbach’s conjecture states that every even integer greater than two can be written as the sum of two primes. Since this problem is out of reach at the moment, we are interested in the average number of the representations. Asymptotic results for the classical case have been studied intensively to give upper and lower bounds for the error term. Now, we are interested in the number of representations of an integer as a sum of many primes. In this talk, I will present new results in this direction, including: giving upper and lower bounds for the error term, and connections with the Riemann Hypothesis
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Xuất bản mới
Le Thi Hong Hanh, Dương Trọng Luyện, Nguyễn Minh Trí, Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations, Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5
Adam Czornik, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Pole Placement Theorem for Linear Measurable Time-Varying Control Systems with Single Input, SIAM Journal on Control and Optimization, Vol. 64, Iss. 4 (2026)
Đinh Nho Hào, Maxim Shishlenin, Van Ba Cong, Stable Numerical Solution to Multi-dimensional Nonlinear Inverse Heat Conduction Problems via Artificial Neural Networks, Lobachevskii Journal of Mathematics, Volume 47, pages 1213–1232 (2026)