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Original Article

Calculation of Hilbert Borcherds Products

Pages 243-256 | Published online: 30 Jan 2011

  • R. E. Borcherds. "Automorphic Forms with Singularities on Grassmannians." Inventiones mathematicae 132 (1998), 491–562.
  • J. H. Bruinier and M. Bundschuh. "On Borcherds Products Associated with Lattices of Prime Discriminant." Ramanujan Journal 7 (2003), 49–61.
  • G. van der Geer. Hilbert Modular Surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete 16. New York: Springer, 1988.
  • K.-B. Gundlach. "Die Berechnung von Multiplikatorsystemen zu Hilbertschen Modulgruppen." Nachrichten der Akademie der Wissenschaften Göttingen, II. Mathematisch-Physikalische Klasse 7 (1988), 1–28.
  • S. Mayer. "Hilbert Modular Forms for the Fields , and ." PhD thesis, Aachen, 2007. Available online ( http://darwin.bth.rwth-aachen.de/opus3/volltexte/2007/1985/
  • S. Mayer. "Rings of Hilbert Modular Forms for the Fields and ." To appear, 2009.
  • C. L. Siegel. "Berechnung von Zetafunktionen an ganzzahligen Stellen." Nachrichten der Akademie der Wissenschaften Göttingen, II. Mathematisch-Physikalische Klasse 10 (1969), 87–102.

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