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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
April 2014
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| 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 
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| Verfasserangaben: | Eric Hofmann |
MARC
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| 520 | |a 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. | ||
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