Keywords
- Fourier Coefficient
- Eisenstein Series
- Automorphic Form
- Automorphic Function
- Arithmetia Group
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References
W. L. Baily, Jr., Stake's compacification of V n, Amer. J. Math. 80 (1958), 348–364.
—, Eisenstein series on tube domains, to appear in "Problems in Analysis — A Symposium in Honor of Salomon Bochner", Princeton University Press.
—, An exceptional arithmetic group and its Eisenstein series, to appear in Ann. of Math.
— and A. Borel, Compactification of arithmetic quotients of bounded symmetric domains, Ann. of Math. 84 (1966), 442–528.
A. Borel, Density and maximality of arithmetic groups, J. Reine Angew. Math. 224 (1966), 78–89.
H. Braun, Hermitian modular functions, Ann. of Math. 50 (1949), 827–855.
H. Cartan, Séminaire 1957/58, mimeographed notes, reprinted by W. A. Benjamin, New York.
M. Eichler, Modulformen und projektive Mannigfaltigkeiten, Lecture notes, University of Basel, Switzerland.
—, Zur Begründung der Theorie der automorphen Funktionen in mehreren Variablen, Aequationes Math. 3 (1969), 93–111.
L. Gutnik, On the extension of integral subgroups of some groups (in Russian), Vestnik Leningrad Univ. Ser. Math. Mech. and Astr. 12 (1957), No. 19, 47–78.
A. Korányi and J. Wolf, Realization of hermitian symmetric spaces as generalized half-planes, Ann. of Math. 81 (1965), 265–288.
S. Lang, Introduction to algebraic geometry, Interscience Tracts in Pure and Applied Mathematics No. 5, Interscience, New York, 1958.
M. Nagata, Local rings, Interscience-Wiley, New York, 1962.
C. L. Siegel, Einführung in die Theorie der Modulfunktionen n-ten Grades, Math. Ann. 116 (1939), 617–657.
—, Über die Fourierschen Koeffizienten der Eisensteinschen Reihen, Danske Vid. Selsk. Mat.-Fys. Medd. 34 (1964), No. 6.
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© 1970 Springer-Verlag
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Baily, W.L. (1970). Automorphic forms with integral Fourier coefficients. In: Horváth, J. (eds) Several Complex Variables I Maryland 1970. Lecture Notes in Mathematics, vol 155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060313
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DOI: https://doi.org/10.1007/BFb0060313
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