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$L$ functions for the group $G_2$
Author(s):
I.
Piatetski-Shapiro;
S.
Rallis;
G.
Schiffmann
Journal:
Bull. Amer. Math. Soc.
23
(1990),
389-399.
MSC (1985):
Primary 11F66, 11F70
MathSciNet review:
1031583
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References |
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Additional information
References:
- [BGG] J. Bernstein, I. Gelfand, and S. Gelfand, Models of representations of Lie groups, Selecta Math. Soviet 1 (2) (1981), 121-142.
- [G-PS-R] S. Gelbart, I. Piatetski-Shapiro, and S. Rallis, Explicit constructions of automorphic L functions, Lecture Notes in Math., vol. 1254, Springer-Verlag, New York, 1989. MR 892097
- [GS] S. Gelbart and F. Shahidi, Analytic properties of automorphic L functions, Perspectives in Mathematics, Academic Press, Boston, Massachusetts, 1988. MR 951897
- [H] C. Herz, Alternating 3 forms and exceptional Lie groups of type G2, Canad. Math. J. 35 (1983), 776-806. MR 735897
- [J-L] H. Jacquet and R. Langlands, Automorphic forms on GL(2), Lecture Notes in Math., vol. 104, Springer-Verlag, New York, 1970. MR 401654
- [J] B. R. Judd, Atomic spectroscopic methods, Harcourt Brace, New York 1977.
- [J-PS-Sh] H. Jacquet, I. Piatetski-Shapiro, and J. Shalika, Rankin-Selberg convolutions, Amer. J. Math., 105 (1983), 367-464. MR 701565
- [J-S-1,2] H. Jacquet and J. Shalika, On Euler products and classification of automorphic representations, I and II, Amer. J. Math. 103 (3) (1981), 499-558 and 777-815. MR 618323
- [KV] B. Kimelfeld and E. Vinberg, Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups, Functional Anal. Appl. 12 (3) (1978), 168-174. MR 509380
- [L] R. Langlands, Euler products, Whitmore Lectures, Yale Univ. Press, 1967. MR 419366
- [PS-R] I. Piatetski-Shapiro and S. Rallis, Rankin triple L-functions, Comp. Math. 64 (1987), 31-115. MR 911357
- [RS] S. Rallis and G. Schiffman, Theta correspondence associated to G2, Amer. J. Math. (to appear). MR 1020830
- [W-1] A. Weil, Basic number theory, die Grundlehren der Mathematischen Wissenschaflen, vol. 144, Springer-Verlag, Berlin and New York, 1967. MR 234930
- [W-2] A. Weil, Uber die Bestimmung Dirichletscher Reihen durch funktionalgleichungen, Math. Ann. 168 (1967), 149-156. MR 207658
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15942-7
PII:
S 0273-0979(1990)15942-7
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