Rankin-Cohen Operators for Jacobi and Siegel Forms

Journal of Number Theory

Volumn 68, Issue 2, 1998, Pages 160-177

  Choie, Youngju ^a   Eholzer, Wolfgang ^b  

^a Pohang University of Science and Technology (POSTECH)   (South Korea)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000657974     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1997.2203     Document Type: Article

References (11)

1. S. Böcherer.
2. Choie Y. Jacobi Forms and the Heat Operator. Math. Z. 225:1997;95-101.
3. Y. Choie, Jacobi Forms and the Heat Operator II, 1996.
4. Cohen H. Sums Involving the Values at Negative Integers ofL. Math. Ann. 217:1975;271-285.
5. Cohen P. B., Manin Y., Zagier D. Automorphic Pseudodifferential Operators. Fokas A. S., Gelfand I. M. Algebraic aspects of integrable systems. Progr. Nonlinear Differential Equations Appl. 26:1997;17-47 Birkhäuser Boston, Boston.
6. W. Eholzer, T. Ibukiyama, Rankin-Cohen Type Differential Operators for Siegel Modular Forms, MPI/97-33, 1997.
7. Eichler M., Zagier D. The Theory of Jacobi Forms. Prog. Math. 55:1985;Birkhäuser, Boston/Basel/Stuttgart.
8. Freitag E. Siegelsche Modulfunktionen. Grundlehren der mathematischen Wissenschaften. 254:1983;Springer, Berlin/Heidelberg/New York.
9. T. Ibukiyama, On Differential Operators on Automorphic Forms and Invariant Pluriharmonic Polynomials, MPI/97-38, 1997.
10. Rankin R. The construction of automorphic forms from the derivatives of a given form. J. Indian Math. Soc. 20:1956;103-116.
11. Zagier D. Modular forms and differential operators. Proc. Indian Acad. Sci. (Math. Sci.). 104:1994;57-75.