The rationality of the Fourier coefficients of certain Eisenstein series on tube domains (I)
Compositio Mathematica, Tome 32 (1976) no. 3, pp. 225-291.
@article{CM_1976__32_3_225_0,
     author = {Tsao, Liang-Chi},
     title = {The rationality of the {Fourier} coefficients of certain {Eisenstein} series on tube domains {(I)}},
     journal = {Compositio Mathematica},
     pages = {225--291},
     publisher = {Noordhoff International Publishing},
     volume = {32},
     number = {3},
     year = {1976},
     mrnumber = {419367},
     zbl = {0346.10014},
     language = {en},
     url = {http://www.numdam.org/item/CM_1976__32_3_225_0/}
}
TY  - JOUR
AU  - Tsao, Liang-Chi
TI  - The rationality of the Fourier coefficients of certain Eisenstein series on tube domains (I)
JO  - Compositio Mathematica
PY  - 1976
SP  - 225
EP  - 291
VL  - 32
IS  - 3
PB  - Noordhoff International Publishing
UR  - http://www.numdam.org/item/CM_1976__32_3_225_0/
LA  - en
ID  - CM_1976__32_3_225_0
ER  - 
%0 Journal Article
%A Tsao, Liang-Chi
%T The rationality of the Fourier coefficients of certain Eisenstein series on tube domains (I)
%J Compositio Mathematica
%D 1976
%P 225-291
%V 32
%N 3
%I Noordhoff International Publishing
%U http://www.numdam.org/item/CM_1976__32_3_225_0/
%G en
%F CM_1976__32_3_225_0
Tsao, Liang-Chi. The rationality of the Fourier coefficients of certain Eisenstein series on tube domains (I). Compositio Mathematica, Tome 32 (1976) no. 3, pp. 225-291. http://www.numdam.org/item/CM_1976__32_3_225_0/

[1] A.A. Albert: Structure of Algebras. Amer. Math. Soc. Colloq. Publ., Vol. 24, Amer. Math. Soc., New York, 1939. | Zbl

[2] A.A. Albert: and N. Jacobson: On reduced exceptional simple Jordan algebras. Ann. of Math. (2) 66 (1957) 400-417. | MR | Zbl

[3] W.L. Baily, Jr.: On Hensel's lemma and exponential sums, in Global Analysis, a volume of assorted articles dedicated to K. Kodaira, Univ. of Tokyo Press, 1969. | Zbl

[4] W.L. Baily,Jr.: Eisenstein series on tube domains, in Problems in Analysis: A Symposium in Honor of S. Bochner. Princeton Univ. Press, 1970. | MR | Zbl

[5] W.L. Baily, Jr.: An exceptional arithmetic group and its Eisenstein series. Ann. of Math., 91 (1970) 512-549. | MR | Zbl

[6] W.L. Baily, Jr.: On the Fourier coefficients of certain Eisenstein series on the adele group, in Number Theory, in honor of Y. Akizuki, Kinokuniya, Tokyo, 1973. | MR | Zbl

[7] W.L. Baily, Jr. and A. Borel: Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math., 84 (1966) 442-528. | MR | Zbl

[8] A. Borel and J. Tits: Groupes réductifs. Publ. I.H.E.S., 27 (1965) 55-150. | EuDML | Numdam | MR | Zbl

[9] F. Bruhat and J. Tits: Théorie des Groupes-Groupes algebriques simples sur un corps local: cohomologie galoisienne, decompositions d'Iwasawa et de Cartan. C. R. Acad. Sc. Paris, 263 (1966) Series A, 867-869. | MR | Zbl

[10] B.A. Fuchs: Special Chapters of the Theory of Analytic Functions of Several Complex Variables. Translations of Mathematical Monographs, Vol. 14, Amer. Math. Soc., New York, 1965. | Zbl

[11] U. Hirzebruch: Über Jordan-Algebren und beschränkte symmetrische Gebiete. Math. Z., 94 (1966) 74-98. | MR | Zbl

[12] N. Jacobson: Structure and the Representations of Jordan Algebras. Amer. Math. Soc. Colloq. Publ., Vol. 39, Amer. Math. Soc., New York, 1968. | MR | Zbl

[13] A. Korányi and J. Wolf: Realization of hermitian symmetric spaces as generalized half-plane. Ann. of Math., 81 (1965) 265-288. | MR | Zbl

[14] I.I. Pyateckii-Shapiro: Géométrie des Domaines Classiques et Théorie des Fonctions Automorphes, Dunod, Paris, 1966. | MR | Zbl

[15] C.L. Siegel: Über die analytische Theorie der quadratischen Formen III. Ann. of Math., 38 (1937) 212-291. | JFM | MR | Zbl

[16] C.L. Siegel: Einführung in die Theorie der Modulfunktionen n-ten Grades. Math. Ann., 116 (1939) 617-657. | JFM | MR | Zbl

[17] C.L. Siegel: Lectures on Riemann Matrices. Tata Inst. of Fundamental Research, Bombay, 1963. | MR | Zbl

[18] J. Tits: Théorème de Bruhat et sous-groupes paraboliques. C. R. Acad. Sci. Paris, 254 (1962) 2910-2912. | MR | Zbl

[19] L.-C. Tsao: On Fourier coefficients of Eisenstein series. Bull. A.M.S., 79 (1973) 1064-1068. | MR | Zbl

[20] E.B. Vinberg: The structure of the group of automorphisms of a homogeneous convex cone. Trans. Moscow Math. Soc., 13 (1965). | MR | Zbl

[21] A. Weil: Adeles and Algebraic Groups. Notes by M. Demazure and T. Ono, Inst. for Adv. Study, Princeton, 1961. | MR