In number theory, the Teichmüller character ω {\displaystyle \omega } (at a prime p {\displaystyle p} ) is a character of ( Z / q Z ) × {\displaystyle (\mathbb {Z} /q\mathbb {Z} )^{\times }} , where q = p {\displaystyle q=p} if p {\displaystyle p} is odd and q = 4 {\displaystyle q=4} if p = 2 {\displaystyle p=2} , taking values in the roots of unity of the p-adic integers. It was introduced by Oswald Teichmüller.
In number theory, the Teichmüller character ω {\displaystyle \omega } (at a prime p {\displaystyle p} ) is a character of ( Z / q Z ) × {\displaystyle (\mathbb {Z} /q\mathbb {Z} )^{\times }} , where q = p {\displaystyle q=p} if p {\displaystyle p} is odd and q = 4 {\displaystyle q=4} if p = 2 {\displaystyle p=2} , taking values in the roots of unity of the p-adic integers. It was introduced by Oswald Teichmüller.
Source: Wikipedia "Teichmüller character" · CC BY-SA 4.0
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