On the tame kernels of imaginary cyclic quartic fields with class number one

DOI10.1016/j.jnt.2019.02.005zbMath1445.11137arXiv1612.09362OpenAlexW2570358410MaRDI QIDQ2631704

Kejian Xu, Long Zhang

Publication date: 16 May 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.09362

zbMATH Keywords

tame kernelcyclic quartic fieldobject-oriented programmulti-threaded parallel computing

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) (K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Higher symbols, Milnor (K)-theory (19D45)

Cites Work

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• Calculation of the Class Numbers of Imaginary Cyclic Quartic Fields
• Higher algebraic K-theory: I
• Tame and wild kernels of quadratic imaginary number fields
• Computing the tame kernel of quadratic imaginary fields
• Tame kernels of cubic cyclic fields
• Computing the Tame Kernel of ℚ(ζ₈)
• Bounds for computing the tame kernel

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