An Artin -function over the Rationals encodes in a Generating Function
information about how an irreducible monic Polynomial over factors when reduced modulo each Prime. For
the Polynomial , the Artin -function is

where is a Legendre Symbol, which is equivalent to the Euler

**References**

Knapp, A. W. ``Group Representations and Harmonic Analysis, Part II.'' *Not. Amer. Math. Soc.* **43**, 537-549, 1996.

© 1996-9

1999-05-25