2 papers
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…
math.PR2026
One-Sided Product-Scale Upper Bounds for Nested Complex Wishart Extremes
Xiufan Yang
I study the largest eigenvalue \(Λ_j\) of \(X^{(j)}(X^{(j)})^*\), where \(X^{(j)}\) is the \(M_j\times j\) northwest rectangle of one infinite complex Gaussian array. For two upper…