Skip to main content
SpringerLink
Log in

Automorphic forms onO s +2,2(R) and infinite products

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. R.E. Borcherds: Monstrous moonshine and monstrous Lie superalgebras, Invent. Math.109, 405–444 (1992)

    Google Scholar 

  2. A. Borel, G. D. Mostow: Algebraic groups and discontinuous subgroups. Proc. Symp. Pure Math. vol.IX, American Mathematical Society 1966

  3. J.H. Conway, N.J.A. Sloane: Sphere packings, lattices and groups. Grundlehren der mathematischen Wissenschaften 290, Springer: New York 1988

    Google Scholar 

  4. A. Erdelyi, W. Magnus, F. Oberhettinger, F.G. Tricomi: Higher transcendental functions. Vols. 1–3. McGraw-Hill Book Company Inc, New York, Toronto, London 1953

    Google Scholar 

  5. M. Eichler, D. Zagier: The theory of Jacobi forms. Progress in mathematics, vol. 55, Birkhäuser: Boston Basel Stuttgart 1985

    Google Scholar 

  6. E. Freitag: Siegelsche Modulfunktionen, Die Grundlehren der mathematischen Wissenschaften 254. Springer; Berlin Heidelberg New York 1983

    Google Scholar 

  7. V.G. Gritsenko: Jacobi functions ofn variables. J. Soviet. Math. 53 243–252 (1991); (The original Russian is in Zap. Nauch. Seminars of LOMI v.168, 32–45 (1988))

    Google Scholar 

  8. B.H. Gross, D.B. Zagier: On singular moduli, reine angewandte. Mathe355, 191–220 (1985)

    Google Scholar 

  9. V.G. Kac: Infinite dimensional Lie algebras. third edition, Cambridge University Press, 1990

  10. W. Kohnen: Modular forms of half integral weight onГ 0. Math. Ann.248 249–266 (1980)

    Google Scholar 

  11. H. Maass: Über eine Spezialschar von Modulformen zweiten Grades I, II, III, Inv. Math. 52 (1979) 95–104, Inv. Math 53 (1979) 249–253, and Inv. Math. 53 (1979) 255–265.

    Google Scholar 

  12. H. Rademacher: Topics in analytic number theory. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen Band 169, Springer: Berlin Heidelberg New York 1973

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics department, University of California at Berkeley, 94720-3840, CA, USA

    Richard E. Borcherds

Authors
  1. Richard E. Borcherds
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Oblatum 15-VI-1994

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borcherds, R.E. Automorphic forms onO s +2,2(R) and infinite products. Invent Math 120, 161–213 (1995). https://doi.org/10.1007/BF01241126

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01241126

Keywords

Search

Navigation