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On the 3-rank of tame kernels of certain pure cubic number fields

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Abstract

In this paper, we present some explicit formulas for the 3-rank of the tame kernels of certain pure cubic number fields, and give the density results concerning the 3-rank of the tame kernels. Numerical examples are given in Tables 1 and 2.

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Correspondence to HouRong Qin.

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Dedicated to Professor Wang Yuan on the Occasion of his 80th Birthday

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Li, Y., Qin, H. On the 3-rank of tame kernels of certain pure cubic number fields. Sci. China Math. 53, 2381–2394 (2010). https://doi.org/10.1007/s11425-010-4088-2

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