most citedLower bound on height of algebraic numbers and low lying zeros of the Dedekind zeta-function

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math.NT2023★ 1 cited

Lower bound on height of algebraic numbers and low lying zeros of the Dedekind zeta-function

Anup B. Dixit, Sushant Kala

In this paper, we establish lower bounds on Weil height of algebraic integers in terms of the low lying zeros of the Dedekind zeta-function. As a result, we prove Lehmer's conjectu…