A reciprocity law

for certain Frobenius extensions

Author:
Yuanli Zhang

Journal:
Proc. Amer. Math. Soc. **124** (1996), 1643-1648

MSC (1991):
Primary 11F39, 11R80, 11F70

DOI:
https://doi.org/10.1090/S0002-9939-96-03603-9

MathSciNet review:
1350967

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a finite Galois extension of algebraic number fields with Galois group . Assume that is a Frobenius group and is a Frobenius complement of . Let be the maximal normal nilpotent subgroup of . If is nilpotent, then every Artin L-function attached to an irreducible representation of arises from an automorphic representation over , i.e., the Langlands' reciprocity conjecture is true for such Galois extensions.

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Additional Information

**Yuanli Zhang**

Affiliation:
Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720

Address at time of publication:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907

Email:
yuanli@msri.org, yz@math.purdue.edu

DOI:
https://doi.org/10.1090/S0002-9939-96-03603-9

Received by editor(s):
October 5, 1994

Communicated by:
Dennis A. Hejhal

Article copyright:
© Copyright 1996
American Mathematical Society