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Remarks on classical number-theoretic aspects of Milnor–Witt K-theory

Volume 202 / 2022

Håkon Kolderup Acta Arithmetica 202 (2022), 337-359 MSC: 11R04, 11R70, 11S70, 14F42, 19F15. DOI: 10.4064/aa210105-26-11 Published online: 11 March 2022

Abstract

We record a few observations on number-theoretic aspects of Milnor–Witt K-theory, focusing on generalizing classical results on reciprocity laws, Hasse’s norm theorem and $\rm K_2$ of number fields and rings of integers.

Authors

  • Håkon KolderupDepartment of Mathematics
    University of Oslo
    Postboks 1053 Blindern
    0316 Oslo, Norway
    e-mail

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