The Euler 
-function
is a special case of the Artin L-function
for the polynomial 
. It is given by
 |
(1)
|
where
 |  |  |
(2)
|
 |  |  |
(3)
|
where 
is a Legendre symbol.
Euler L-Function
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References
Knapp, A. W. "Group Representations and Harmonic Analysis, Part II." Not. Amer. Math. Soc. 43, 537-549, 1996.Referenced on Wolfram|Alpha
Euler L-FunctionCite this as:
Weisstein, Eric W. "Euler L-Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/EulerL-Function.html