Borcherds products on unitary groups

In the present paper, we provide a construction of the multiplicative Borcherds lift for unitary groups \mathrm U (1,m), which takes weakly holomorphic elliptic modular forms as input functions and lifts them to automorphic forms having infinite product expansions and taking their zeros and poles al...

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Bibliographic Details
Main Author: Hofmann, Eric (Author)
Format: Article (Journal)
Language:English
Published: April 2014
In: Mathematische Annalen
Year: 2014, Volume: 358, Issue: 3-4, Pages: 799-832
ISSN:1432-1807
DOI:10.1007/s00208-013-0966-6
Online Access:Verlag, Volltext: http://dx.doi.org/10.1007/s00208-013-0966-6
Verlag, Volltext: https://link.springer.com/article/10.1007/s00208-013-0966-6
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Author Notes:Eric Hofmann
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Summary:In the present paper, we provide a construction of the multiplicative Borcherds lift for unitary groups \mathrm U (1,m), which takes weakly holomorphic elliptic modular forms as input functions and lifts them to automorphic forms having infinite product expansions and taking their zeros and poles along Heegner divisors.
Item Description:First online: 28 September 2013
Gesehen am 21.03.2018
Physical Description:Online Resource
ISSN:1432-1807
DOI:10.1007/s00208-013-0966-6