2 citations · 3 across the 6 of their papers we have counts for
6 papers
Modular forms and an explicit Chebotarev variant of the Brun-Titchmarsh theorem
Daniel Hu, Hari R. Iyer, Alexander Shashkov
We prove an explicit Chebotarev variant of the Brun--Titchmarsh theorem. This leads to explicit versions of the best-known unconditional upper bounds toward conjectures of Lang and…
On a Mertens-type conjecture for number fields
Daniel Hu, Ikuya Kaneko, Spencer Martin +1
We introduce a number field analogue of the Mertens conjecture and demonstrate its falsity for all but finitely many number fields of any given degree. We establish the existence o…
Order of Zeros of Dedekind Zeta Functions
Daniel Hu, Ikuya Kaneko, Spencer Martin +1
Answering a question of Browkin, we provide a new unconditional proof that the Dedekind zeta function of a number field has infinitely many nontrivial zeros of multiplicity at…
Extreme Points on Circumconics Induced by Isogonal Conjugates in a Triangle
Daniel Hu
We first introduce a configuration of arbitrary isogonal conjugates related to a known property concerning the spiral center of two pairs of isogonal conjugates. We then consider a…
Constructions in the Locus of Isogonal Conjugates in a Quadrilateral
Daniel Hu
Given fixed distinct points , we examine properties of the locus of points for which , are isogonal. This locus is a cubic curve circumscribing…
Translating surfaces of the non-parametric mean curvature flow in Lorentz manifold
Li Chen, Dan-Dan Hu, Jing Mao +1
In this paper, for the Lorentz manifold , with a -dimensional complete surface with nonnegative Gaussian curvature, we investigate its space-like…