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Principal L-functions of the linear group. (English) Zbl 0413.12007
Automorphic forms, representations and L-functions, Proc. Symp. Pure Math. Am. Math. Soc., Corvallis/Oregon 1977, Proc. Symp. Pure Math. 33, 2, 63-86 (1979).

##### MSC:
 11R39 Langlands-Weil conjectures, nonabelian class field theory 20G25 Linear algebraic groups over local fields and their integers 11S37 Langlands-Weil conjectures, nonabelian class field theory 11S40 Zeta functions and $$L$$-functions 11F67 Special values of automorphic $$L$$-series, periods of automorphic forms, cohomology, modular symbols 11R42 Zeta functions and $$L$$-functions of number fields 20G30 Linear algebraic groups over global fields and their integers 22E50 Representations of Lie and linear algebraic groups over local fields 22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings