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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Bibliographische Detailangaben
1. Verfasser: Hofmann, Eric (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: April 2014
In: Mathematische Annalen
Year: 2014, Jahrgang: 358, Heft: 3-4, Pages: 799-832
ISSN:1432-1807
DOI:10.1007/s00208-013-0966-6
Online-Zugang: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
Volltext
Verfasserangaben:Eric Hofmann
Beschreibung
Zusammenfassung: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.
Beschreibung:First online: 28 September 2013
Gesehen am 21.03.2018
Beschreibung:Online Resource
ISSN:1432-1807
DOI:10.1007/s00208-013-0966-6