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The Eichler cohomology groups and automorphic forms
Author:
R. C. Gunning
Journal:
Trans. Amer. Math. Soc. 100 (1961), 44-62
MSC:
Primary 32.65; Secondary 10.23
MathSciNet review:
0140126
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [1]
P. Appell, Sur les fonctions périodiques de deux variables, J. Math. Pures Appl. vol. 97 (1884) pp. 16-48.
- [2]
Walter
L. Baily Jr., The decomposition theorem for
𝑉-manifolds, Amer. J. Math. 78 (1956),
862–888. MR 0100103
(20 #6537)
- [3]
G.
Bol, Invarianten linearer differentialgleichungen, Abh. Math.
Sem. Univ. Hamburg 16 (1949), 1–28 (German). MR 0033411
(11,437a)
- [4]
Henri
Cartan and Samuel
Eilenberg, Homological algebra, Princeton University Press,
Princeton, N. J., 1956. MR 0077480
(17,1040e)
- [5]
Martin
Eichler, Modular correspondences and their representations, J.
Indian Math. Soc. (N.S.) 20 (1956), 163–206. MR 0085296
(19,18a)
- [6]
M.
Eichler, Eine Verallgemeinerung der Abelschen Integrale, Math.
Z. 67 (1957), 267–298 (German). MR 0089928
(19,740a)
- [7]
Samuel
Eilenberg and Saunders
MacLane, Cohomology theory in abstract groups. I, Ann. of
Math. (2) 48 (1947), 51–78. MR 0019092
(8,367f)
- [8]
L. R. Ford, Automorphic functions, New York, Chelsea, 1951.
- [9]
R.
C. Gunning, Factors of automorphy and other formal cohomology
groups for Lie groups, Ann. of Math. (2) 69 (1959),
314–326; erratum, 734. MR 0103989
(21 #2751)
- [10]
-, A duality theorem for automorphic form, to appear.
- [11]
Hans
Petersson, Über eine Metrisierung der automorphen Formen und
die Theorie der Poincaréschen Reihen, Math. Ann.
117 (1940), 453–537 (German). MR 0002624
(2,87e)
- [12]
Jean-Pierre
Serre, Un théorème de dualité, Comment.
Math. Helv. 29 (1955), 9–26 (French). MR 0067489
(16,736d)
- [1]
- P. Appell, Sur les fonctions périodiques de deux variables, J. Math. Pures Appl. vol. 97 (1884) pp. 16-48.
- [2]
- W. L. Baily, Jr., The decomposition theorem for V-manifolds, Amer. J. Math. vol. 78 (1956) pp. 862-888. MR 0100103 (20:6537)
- [3]
- G. Bol, Invarianten linearer Differentialgleichungen, Abh. Math. Sem. Univ. Hamburg vol. 16 (1949) pp. 1-28. MR 0033411 (11:437a)
- [4]
- H. Cartan and S. Eilenberg, Homological algebra, Princeton, Princeton University Press, 1956. MR 0077480 (17:1040e)
- [5]
- M. Eichler, Modular correspondences and their representations, J. Indian Math. Soc. vol. 20 (1956) pp. 163-206. MR 0085296 (19:18a)
- [6]
- -, Eine Verallgemeinerung der Abelschen Integrale, Math. Z. vol. 67 (1957) pp. 267-298. MR 0089928 (19:740a)
- [7]
- S. Eilenberg and S. MacLane, Cohomology theory in abstract groups, Ann. of Math. vol. 48 (1947) pp. 51-78. MR 0019092 (8:367f)
- [8]
- L. R. Ford, Automorphic functions, New York, Chelsea, 1951.
- [9]
- R. C. Gunning, Factors of automorphy and other formal cohomology groups for Lie groups, Ann. of Math. vol. 69 (1959) pp. 314-326. MR 0103989 (21:2751)
- [10]
- -, A duality theorem for automorphic form, to appear.
- [11]
- H. Petersson, Über eine Metrisierung der automorphen Formen und die Theorie der Poincaréschen Reihen, Math. Ann. vol. 117 (1940) pp. 453-537. MR 0002624 (2:87e)
- [12]
- J.-P. Serre, Un théorème de dualité, Comment. Math. Helv. vol. 29 (1955) pp. 9-26. MR 0067489 (16:736d)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1961-0140126-3
PII:
S 0002-9947(1961)0140126-3
Article copyright:
© Copyright 1961 American Mathematical Society
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