3 papers
math.CA2026
Cellular Maximal-Density Factoring: Joint Shadings, Stable Refinements, and a Conditional Kakeya Application
Zhixu Hua, Xiufan Yang
Maximal-density factoring must often make one parent object carry several forms of information at once: child mass, two multiplicity levels, a density estimate, and the ability to…
math.CA2026
Profile-Stable Buffered Multiplicity Factoring in Four Dimensions
Zhixu Hua, Xinshun Yao, Xiufan Yang
Multiplicity factoring is usually formulated for child families at comparable scales. For children of mixed geometry, thickening at the shortest parent scale produces nonuniform in…
math.NT2026
Simple and distinct zeros in a prime-modulus Dirichlet family from near-microscopic to polylogarithmic heights
Zhixu Hua, Xiufan Yang
Fix \(η>0\) and \(A_0>0\). Let \(q\) tend to infinity through odd primes, put \(Q=\log q\), and let \(T=T(q)\) satisfy \[ \frac{(\log Q)^{1+η}}{Q}\le T\le Q^{A_0}. \] Set \(I=(T,2T…