8 papers
Effective Brauer-Siegel theorems for Artin -functions
Peter J. Cho, Robert J. Lemke Oliver, Asif Zaman
Given a number field , in a now classic work, Stark pinpointed the possible source of a so-called Landau-Siegel zero of the Dedekind zeta function and…
Dynamical stability and multifunctional properties of Ni2+/Pr3+ co-doped CsPbCl3 perovskite: insights from first-principles lattice dynamics and carrier transport
Sikander Azam, Asif Zaman, Qaiser Rafiq +2
All inorganic halide perovskites offer promising optoelectronic properties at low cost, but their structural softness and thermal instability limit applications. Density functional…
Numerical Computations Concerning Landau-Siegel Zeros
Rick F. Lu, Asif Zaman, Haonan Zhao
We computationally verify that if is a quadratic Dirichlet -function modulo then for real . The number of verif…
Explicit Deuring-Heilbronn phenomenon for Dirichlet -functions
Kübra Benli, Shivani Goel, Henry Twiss +1
Assuming the existence of a Landau-Siegel zero, we establish an explicit Deuring-Heilbronn zero repulsion phenomenon for Dirichlet -functions modulo . Our estimate is uniform…
The least prime with a given cycle type
Peter J. Cho, Robert J. Lemke Oliver, Asif Zaman
Let be a finite group. Let be a Galois extension of number fields with Galois group isomorphic to , and let be a conjugacy inv…
Central limit theorems for random multiplicative functions over function fields
Declan Hoban, Jibran Iqbal Shah, Nadya-Catherine Ismail +2
We provide a sufficient characterization for subsets of the polynomial ring for which partial sums of Steinhaus random multiplicative functions appr…