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Erratum to ``Mass equidistribution for automorphic forms of cohomological type on  ''
Author:
Simon Marshall
Journal:
J. Amer. Math. Soc. 25 (2012), 615-616
MSC (2010):
Primary 11F41, 11F11; Secondary 11F75
Posted:
October 4, 2011
Original Article:
J. Amer. Math. Soc. 24 (2011), 1051-1103.
MathSciNet review:
2869029
Full-text PDF
Abstract |
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Additional Information
Abstract: We correct a false claim that was made in our paper on mass equidistribution to the effect that cohomological automorphic forms over imaginary quadratic fields satisfy the Ramanujan conjecture.
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Berger and Gergely
Harcos, 𝑙-adic representations associated to modular forms
over imaginary quadratic fields, Int. Math. Res. Not. IMRN
23 (2007), Art. ID rnm113, 16. MR 2380006
(2008m:11109)
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Tobias
Finis, Fritz
Grunewald, and Paulo
Tirao, The cohomology of lattices in
𝑆𝐿(2,ℂ), Experiment. Math. 19
(2010), no. 1, 29–63. MR 2649984
(2011i:11081)
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Michael
Harris, David
Soudry, and Richard
Taylor, 𝑙-adic representations associated to modular forms
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112 (1993), no. 2, 377–411. MR 1213108
(94d:11035), http://dx.doi.org/10.1007/BF01232440
- 4.
Simon
Marshall, Mass equidistribution for automorphic
forms of cohomological type on 𝐺𝐿₂, J. Amer. Math. Soc. 24 (2011), no. 4, 1051–1103. MR 2813338
(2012i:11049), http://dx.doi.org/10.1090/S0894-0347-2011-00700-5
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Richard
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of low weight, Duke Math. J. 63 (1991), no. 2,
281–332. MR 1115109
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- 1.
- T. Berger, G. Harcos,
 -adic representations associated to modular forms over imaginary quadratic fields, IMRN (2007), article ID rnm113. MR 2380006 (2008m:11109)
- 2.
- T. Finis, F. Grunewald, P. Tirao, The cohomology of lattices in
 , Exp. Math. 19 (2010), no. 1, 29-63. MR 2649984 (2011i:11081)
- 3.
- M. Harris, D. Soudry, R. Taylor,
 -adic representations associated to modular forms over imaginary quadratic fields, Invent. Math. 112 (1993), 377-411. MR 1213108 (94d:11035)
- 4.
- S. Marshall, Mass equidistribution for automorphic forms of cohomological type on
 , J. Amer. Math. Soc. 24 (2011), 1051-1103. MR 2813338
- 5.
- R. Taylor, Galois representations attached to Siegel modular forms of low weight, Duke Math. J. 63 (1991), 281-332. MR 1115109 (92j:11044)
- 6.
- R. Weissauer, Four dimensional Galois representations, Astérisque 302 (2005), 67-150. MR 2234860 (2007f:11057)
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Additional Information
Simon Marshall
Affiliation:
School of Mathematics, The Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540
Address at time of publication:
Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, Illinois 60208-2730
Email:
slm@math.princeton.edu, slm@math.northwestern.edu
DOI:
http://dx.doi.org/10.1090/S0894-0347-2011-00720-0
PII:
S 0894-0347(2011)00720-0
Received by editor(s):
June 16, 2011
Received by editor(s) in revised form:
September 13, 2011
Posted:
October 4, 2011
Article copyright:
© Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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