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December 2013 Multiple zeros of Dedekind zeta functions
Jerzy Browkin
Funct. Approx. Comment. Math. 49(2): 383-390 (December 2013). DOI: 10.7169/facm/2013.49.2.15

Abstract

It is proved that there are Dedekind's zeta functions with multiple zeros inthe critical strip of arbitrarily large multiplicity. There are given examplesof such zeros of the Dedekind zeta function of the field $\mathbb{Q}(\zeta_3, {\root 3 \of 5})$.

Citation

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Jerzy Browkin. "Multiple zeros of Dedekind zeta functions." Funct. Approx. Comment. Math. 49 (2) 383 - 390, December 2013. https://doi.org/10.7169/facm/2013.49.2.15

Information

Published: December 2013
First available in Project Euclid: 20 December 2013

zbMATH: 1283.11119
MathSciNet: MR3161504
Digital Object Identifier: 10.7169/facm/2013.49.2.15

Subjects:
Primary: 11M26
Secondary: 20C15

Rights: Copyright © 2013 Adam Mickiewicz University

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Vol.49 • No. 2 • December 2013
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