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.
Grössencharakter
See also
Adèle, Multiplicative CharacterExplore with Wolfram|Alpha
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.Referenced on Wolfram|Alpha
GrössencharakterCite this as:
Weisstein, Eric W. "Grössencharakter." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Groessencharakter.html