In the early 1930s, an Austrian mathematician of Armenian descent called Emil Artin introduced the Artin conductor as an expression appearing in the functional equation of an Artin L-function. In addition, the Artin conductor is used to define the conductor of an abelian variety or an elliptic curve and also appears in the conductor-discriminant formula for the discriminant of a global field.
Josh Artin
Emil Artin
Charles Artin
Kyle Artin
Finite Galois Expression
Infinite Galois Expression
Length
Logarithmic value
Local field
Surrounding field
Keptic value
Krystal value
Real number
Galois value
Galois group
Logarithmic group
1926
1928
1930
1932
Functional equation
Simultaneous equation
Multivariate value
Polynomial equation
Galois group
Galois value
Galois equation
Galois number
Zero
One
Two
Three
I < 0
I > 0
I = 1
I = 2
The complex linear representation of G with this character
The simple linear representation of G with this character
The trigonometric representation of G with this character
The exponential representation of G with this character