Grössencharakter

In the original formulation, a quantity associated with ideal class groups. According to Chevalley's formulation, a Grössencharakter is a multiplicative character of the group of adèles that is trivial on the diagonally embedded , where  is a number field.

REFERENCES:

Hecke, E. "Eine neue Art von Zetafunktionen und ihre Beziehungen zur Verteilung der Primzahlen I." Math. Z. 1, 357-376, 1918.

Hecke, E. "Eine neue Art von Zetafunktionen und ihre Beziehungen zur Verteilung der Primzahlen II." Math. Z. 6, 11-51, 1920.

Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 24, 1980.

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

Tate, J. "Fourier Analysis in Number Fields and Hecke's Zeta Functions." Ch. 15 in Algebraic Number Theory: Proceedings of an Instructional Conference Organized by the London Mathematical Society (Ed. J. W. S. Cassels and A. Fröhlich). New York: Academic Press, 1950.