References
H. Braun: Hermitian Modular Functions I,II,III. Ann. of Math. 50, 827–855 (1949); 51, 92-104 (1950); 53, 143-160 (1951).
M. Eichler and D. B. Zagier: The theory of Jacobi forms. Progr. Math. 55, Birkhäuser, Boston-Basel-Stuttgart (1985).
E. Freitag: Siegeische Modulfunktionen. Springer-Ver lag, Berlin-Heidelberg-New York (1983).
E. Freitag: Hilbert modular forms. Springer-Verlag, Berlin-Heidelberg-New York (1990).
V. A. Gritsenko: Jacobi Functions and Euler Products for Hermitian Modular Forms. J. Soviet Math.62, no. 4, 77–123 (1992).
K. Haverkamp: Hermitesche Jacobiformen. Dissertation, Münster (1994), to appear in Schriftenreihe Math. Inst. Grad. Univ. Münster.
H. Klingen: Über Kernfunktionen und Siegeische Modulformen. Math. Ann. 285, 405–416 (1989).
A. Krieg: Modular Forms on Half-Spaces of Quaternions. Lecture Notes in Math. 1143, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo (1985).
A. Krieg: The Maaβ spaces on the Hermitian half-space of degree 2. Math. Ann. 289, 663–681 (1991).
A. Krieg: Jacobi forms of Several Variables and the Maaβ Space, to appear in J. Number Theory.
T. Miyake: Modular Forms. Springer-Verlag, Berlin-Heidelberg (1989).
S. Nagaoka: On Eisenstein series for the Hermitian modular groups and the Jacobi groups. Abh. Math. Sem. Univ. Hamburg 62, 117–146 (1992).
N. P. Skoruppa and D. B. Zagier: A trace formula for Jacobi forms. J. Reine Angew. Math. 393, 168–198 (1989).
T. Sugano: Maaβ spaces for SU(2,2). (Japanese) Res. Inst. Math. Sci. Kokyuroku 546, 1–16 (1985).
C. Ziegler: Jacobi forms of Higher Degree. Abh. Math. Sem. Univ. Hamburg 59, 191–224 (1989).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Haverkamp, K.K. Hermitian Jacobi Forms. Results. Math. 29, 78–89 (1996). https://doi.org/10.1007/BF03322207
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03322207