Showing math.NTShow all
2 papers · 1 filter
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.NT2026
Gevrey localization for simple and distinct zeros in a prime-modulus Dirichlet family
Zhixu Hua, Xiufan Yang
Let tend to infinity through odd primes, let , and put . Suppose that for some fixed and that \[ λ_{\rm bw}:=\min\left\{1, \liminf…