2 papers
math.CO2025
Monochromatic Sums and Products with Additive or Multiplicative Shifts in Natural Numbers
Wen Huang, Song Shao, Tianyi Tao +2
In this paper we prove that for any finite coloring of N there are lambda,rho in N such that infinitely many pairs (x,y),(u,v) in N^2 satisfy the sets {lambda x, lambda y, x y, lam…
math.CO2024
Element-Distinct Solution For Rado's Theorem
Ningyuan Yang, Tianyi Tao
In this paper, we present a simplified proof of Rado's Theorem and demonstrate that when an integer matrix satisfies the column condition and has an elem…