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math.NT2022
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…
math.NT2021★ 1 cited
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…
math.NT2021★ 2 cited
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…