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arxiv: 1407.1375 · v3 · pith:YI3MB22Onew · submitted 2014-07-05 · 🧮 math.NT

Zeros of Dedekind zeta functions under GRH

classification 🧮 math.NT
keywords zerosbounddedekindprovezetaassumingexplicitfunction
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Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedekind zeta function having imaginary part in $[T-a,T+a]$. We also prove a bound for the multiplicity of the zeros.

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