On the gamma factor of the triple $L$-function, I
Tamotsu Ikeda
Source: Duke Math. J. Volume 97, Number 2
(1999), 301-318.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077228651
Mathematical Reviews number (MathSciNet): MR1682237
Zentralblatt MATH identifier: 0971.11029
Digital Object Identifier: doi:10.1215/S0012-7094-99-09713-2
References
[1] W. N. Bailey, Some infinite integral involving Bessel functions, II, J. London Math. Soc. 11 (1936), 16–20.
Zentralblatt MATH: 0013.30701
[2] Paul B. Garrett, Decomposition of Eisenstein series: Rankin triple products, Ann. of Math. (2) 125 (1987), no. 2, 209–235.
Mathematical Reviews (MathSciNet): MR88m:11033
Zentralblatt MATH: 0625.10020
Digital Object Identifier: doi:10.2307/1971310
JSTOR: links.jstor.org
[3] Stephen Gelbart and Freydoon Shahidi, Analytic properties of automorphic $L$-functions, Perspectives in Mathematics, vol. 6, Academic Press Inc., Boston, MA, 1988.
Mathematical Reviews (MathSciNet): MR89f:11077
Zentralblatt MATH: 0654.10028
[4] I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products, Fourth edition prepared by Ju. V. Geronimus and M. Ju. Ceĭtlin. Translated from the Russian by Scripta Technica, Inc. Translation edited by Alan Jeffrey, Academic Press, New York, 1965.
Mathematical Reviews (MathSciNet): MR33:5952
[5] Tamotsu Ikeda, On the functional equations of the triple $L$-functions, J. Math. Kyoto Univ. 29 (1989), no. 2, 175–219.
Mathematical Reviews (MathSciNet): MR90g:11064
Zentralblatt MATH: 0701.11017
Project Euclid: euclid.kjm/1250520261
[6] Tamotsu Ikeda, On the location of poles of the triple $L$-functions, Compositio Math. 83 (1992), no. 2, 187–237.
Mathematical Reviews (MathSciNet): MR94b:11042
Zentralblatt MATH: 0773.11035
[7] Hervé Jacquet, Automorphic forms on $\rm GL(2)$. Part II, Springer-Verlag, Berlin, 1972.
Mathematical Reviews (MathSciNet): MR58:27778
Zentralblatt MATH: 0243.12005
[8] Hervé Jacquet and Joseph Shalika, Rankin-Selberg convolutions: Archimedean theory, Festschrift in honor of I. I. Piatetski-Shapiro on the occasion of his sixtieth birthday, Part I (Ramat Aviv, 1989), Israel Math. Conf. Proc., vol. 2, Weizmann, Jerusalem, 1990, pp. 125–207.
Mathematical Reviews (MathSciNet): MR93d:22022
Zentralblatt MATH: 0712.22011
[9] I. Piatetski-Shapiro and Stephen Rallis, Rankin triple $L$ functions, Compositio Math. 64 (1987), no. 1, 31–115.
Mathematical Reviews (MathSciNet): MR89k:11037
Zentralblatt MATH: 0637.10023
[10] Lucy Joan Slater, Generalized hypergeometric functions, Cambridge University Press, Cambridge, 1966.
Mathematical Reviews (MathSciNet): MR34:1570
Zentralblatt MATH: 0135.28101
[11] Eric Stade, Hypergeometric series and Euler factors at infinity for $L$-functions on $\rm GL(3,\bold R)\times\rm GL(3,\bold R)$, Amer. J. Math. 115 (1993), no. 2, 371–387.
Mathematical Reviews (MathSciNet): MR94m:11060
Zentralblatt MATH: 0808.11037
Digital Object Identifier: doi:10.2307/2374862
JSTOR: links.jstor.org
[12] J. Tate, Number theoretic background, Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 2, Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979, pp. 3–26.
Mathematical Reviews (MathSciNet): MR80m:12009
Zentralblatt MATH: 0422.12007
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