$L$ functions for the group $G_2$
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- by I. Piatetski-Shapiro, S. Rallis and G. Schiffmann PDF
- Bull. Amer. Math. Soc. 23 (1990), 389-399
References
-
[BGG] J. Bernstein, I. Gelfand, and S. Gelfand, Models of representations of Lie groups, Selecta Math. Soviet 1 (2) (1981), 121-142.
- Stephen Gelbart, Ilya Piatetski-Shapiro, and Stephen Rallis, Explicit constructions of automorphic $L$-functions, Lecture Notes in Mathematics, vol. 1254, Springer-Verlag, Berlin, 1987. MR 892097, DOI 10.1007/BFb0078125
- Stephen Gelbart and Freydoon Shahidi, Analytic properties of automorphic $L$-functions, Perspectives in Mathematics, vol. 6, Academic Press, Inc., Boston, MA, 1988. MR 951897
- Carl Herz, Alternating $3$-forms and exceptional simple Lie groups of type $G_{2}$, Canad. J. Math. 35 (1983), no. 5, 776–806. MR 735897, DOI 10.4153/CJM-1983-045-2
- H. Jacquet and R. P. Langlands, Automorphic forms on $\textrm {GL}(2)$, Lecture Notes in Mathematics, Vol. 114, Springer-Verlag, Berlin-New York, 1970. MR 0401654, DOI 10.1007/BFb0058988 [J] B. R. Judd, Atomic spectroscopic methods, Harcourt Brace, New York 1977.
- H. Jacquet, I. I. Piatetskii-Shapiro, and J. A. Shalika, Rankin-Selberg convolutions, Amer. J. Math. 105 (1983), no. 2, 367–464. MR 701565, DOI 10.2307/2374264
- H. Jacquet and J. A. Shalika, On Euler products and the classification of automorphic representations. I, Amer. J. Math. 103 (1981), no. 3, 499–558. MR 618323, DOI 10.2307/2374103
- È. B. Vinberg and B. N. Kimel′fel′d, Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups, Funktsional. Anal. i Prilozhen. 12 (1978), no. 3, 12–19, 96 (Russian). MR 509380
- Robert P. Langlands, Euler products, Yale Mathematical Monographs, vol. 1, Yale University Press, New Haven, Conn.-London, 1971. A James K. Whittemore Lecture in Mathematics given at Yale University, 1967. MR 0419366
- I. Piatetski-Shapiro and Stephen Rallis, Rankin triple $L$ functions, Compositio Math. 64 (1987), no. 1, 31–115. MR 911357
- S. Rallis and G. Schiffmann, Theta correspondence associated to $G_2$, Amer. J. Math. 111 (1989), no. 5, 801–849. MR 1020830, DOI 10.2307/2374882
- André Weil, Basic number theory, Die Grundlehren der mathematischen Wissenschaften, Band 144, Springer-Verlag New York, Inc., New York, 1967. MR 0234930, DOI 10.1007/978-3-662-00046-5
- André Weil, Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math. Ann. 168 (1967), 149–156 (German). MR 207658, DOI 10.1007/BF01361551
Additional Information
- Journal: Bull. Amer. Math. Soc. 23 (1990), 389-399
- MSC (1985): Primary 11F66, 11F70
- DOI: https://doi.org/10.1090/S0273-0979-1990-15942-7
- MathSciNet review: 1031583