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

## TL;DR

This paper explores number theoretic properties of Milnor-Witt K-theory, extending classical results like reciprocity laws, Hasse's norm theorem, and K_2 of number fields and rings of integers.

## Contribution

It generalizes classical number theory results to the setting of Milnor-Witt K-theory, providing new insights into its algebraic structure.

## Key findings

- Extended reciprocity laws to Milnor-Witt K-theory
- Generalized Hasse's norm theorem in this context
- Analyzed K_2 of number fields and rings of integers

## 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 K_2 of number fields and rings of integers.