Duke Mathematical Journal

Certain Dirichlet series attached to automorphic forms over imaginary quadratic fields

Yude Zhao
Source: Duke Math. J. Volume 72, Number 3 (1993), 695-724.
First Page: Show Hide
Primary Subjects: 11F66
Secondary Subjects: 11F41
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077289627
Mathematical Reviews number (MathSciNet): MR1253621
Zentralblatt MATH identifier: 0797.11051
Digital Object Identifier: doi:10.1215/S0012-7094-93-07226-2

References

[As] T. Asai, On certain Dirichlet series associated with Hilbert modular forms and Rankin's method, Math. Ann. 226 (1977), no. 1, 81–94.
Mathematical Reviews (MathSciNet): MR55:2761
Zentralblatt MATH: 0326.10024
Digital Object Identifier: doi:10.1007/BF01391220
[Ma] O. I. Marichev, Handbook of integral transforms of higher transcendental functions, Ellis Horwood Series: Mathematics and its Applications, Ellis Horwood Ltd., Chichester, 1983, Translated by L. W. Longdon.
Mathematical Reviews (MathSciNet): MR84f:00017
Zentralblatt MATH: 0494.33001
[JL] H. Jacquet and R. P. Langlands, Automorphic forms on $\rm GL(2)$, Lecture Notes in Mathematics, vol. 114, Springer-Verlag, Berlin, 1970.
Mathematical Reviews (MathSciNet): MR53:5481
Zentralblatt MATH: 0236.12010
[Sh1] G. Shimura, Introduction to the arithmetic theory of automorphic functions, Publications of the Mathematical Society of Japan, No. 11. Iwanami Shoten, Publishers, Tokyo, 1971.
Mathematical Reviews (MathSciNet): MR47:3318
Zentralblatt MATH: 0221.10029
[Sh2] G. Shimura, On modular forms of half integral weight, Ann. of Math. (2) 97 (1973), 440–481.
Mathematical Reviews (MathSciNet): MR48:10989
Zentralblatt MATH: 0266.10022
Digital Object Identifier: doi:10.2307/1970831
[Sh3] G. Shimura, On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. (3) 31 (1975), no. 1, 79–98.
Mathematical Reviews (MathSciNet): MR52:3064
Zentralblatt MATH: 0311.10029
Digital Object Identifier: doi:10.1112/plms/s3-31.1.79
[Sh4] G. Shimura, The special values of the zeta functions associated with Hilbert modular forms, Duke Math. J. 45 (1978), no. 3, 637–679.
Mathematical Reviews (MathSciNet): MR80a:10043
Zentralblatt MATH: 0394.10015
Digital Object Identifier: doi:10.1215/S0012-7094-78-04529-5
Project Euclid: euclid.dmj/1077312955
[Sh5] G. Shimura, On the Eisenstein series of Hilbert modular groups, Rev. Mat. Iberoamericana 1 (1985), no. 3, 1–42.
Mathematical Reviews (MathSciNet): MR87h:11038
Zentralblatt MATH: 0608.10028
[We] A. Weil, Dirichlet Series and Automorphic Forms, Lecture Notes in Math., vol. 189, Springer-Verlag, Berlin, 1971.
Zentralblatt MATH: 0218.10046

2012 © Duke University Press

Duke Mathematical Journal

Duke Mathematical Journal

Turn MathJax Off
What is MathJax?