Jacobi forms over imaginary quadratic number fields

Acta Arithmetica

Volumn 96, Issue 4, 2001, Pages 333-350

  Skogman, Howard ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035649428     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa96-4-3     Document Type: Article

References (10)

1. M. Eichler and D. Zagier, The Theory of Jacobi Forms, Birkhäuser, Boston, 1985.
2. V. Gritsenko, Jacobi functions and Euler products for Hermitian modular forms, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 183 (1990), 77-123.
3. K. Haverkamp, Hermitian Jacobi forms, Results Math. 29 (1996), 78-89.
4. C. G. J. Jacobi, Fundamenta nova theoriae functionum ellipticarum, Königsberg, 1829.
5. A. Krieg, The Maass space on the Hermitian half-space of degree 2, Math. Ann. 289 (1991), 663-681.
6. _, Jacobi forms of several variables and the Maass space, J. Number Theory 56 (1996), 242-255.
7. O. Richter, Theta functions of quadratic forms, PhD thesis, University of California, San Diego, La Jolla, CA 92093, June 1999.
8. H. Skogman, Jacobi forms over number fields, PhD thesis, University of California, San Diego, La Jolla, CA 92093, June 1999.
9. _, Jacobi forms over totally real fields, to appear.
10. H. Stark, On the transformation formula for the symplectic theta function and applications, J. Fac. Sci. Univ. Tokyo Sect. 1A 29 (1982), 1-12.