## Artin’s conjecture for representations of octahedral type.(English)Zbl 0475.12016

### MSC:

 11R42 Zeta functions and $$L$$-functions of number fields 11F70 Representation-theoretic methods; automorphic representations over local and global fields 11R39 Langlands-Weil conjectures, nonabelian class field theory

### Keywords:

entire L-series; octahedral representations

Zbl 0444.22007
Full Text:

### References:

 [1] Joe P. Buhler, Icosahedral Galois representations, Lecture Notes in Mathematics, Vol. 654, Springer-Verlag, Berlin-New York, 1978. · Zbl 0374.12002 [2] H. Jacquet and R. P. Langlands, Automorphic forms on \?\?(2), Lecture Notes in Mathematics, Vol. 114, Springer-Verlag, Berlin-New York, 1970. · Zbl 0236.12010 [3] Hervé Jacquet, Automorphic forms on \?\?(2). Part II, Lecture Notes in Mathematics, Vol. 278, Springer-Verlag, Berlin-New York, 1972. [4] Hervé Jacquet, Ilja I. Piatetski-Shapiro, and Joseph Shalika, Relèvement cubique non normal, C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 12, 567 – 571 (French, with English summary). · Zbl 0475.12017 [5] Robert P. Langlands, Base change for \?\?(2), Annals of Mathematics Studies, vol. 96, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1980. · Zbl 0444.22007
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