Rankin-Cohen type differential operators for Siegel modular forms

International Journal of Mathematics

Volumn 9, Issue 5, 1998, Pages 443-463

  Eholzer, Wolfgang ^a   Ibukiyama, Tomoyoshi ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032104968     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0129167x98000191     Document Type: Article

References (11)

1. 1. Y. Choie and W. Eholzer, Rankin-Cohen operators for Jacobi and Siegel Forms, preprint DAMTP-96-106 alg-geom/9611032.
2. 2. H. Cohen, Sums involving the values at negative integers of L functions of quadratic characters, Math. Ann. 217 (1975), 271-285.
3. 3. E. Freitag, Siegelsche Modulfunktionen, Grundlehren der mathematischen Wissenschaften 254, Springer, Berlin-Heidelberg-New York, 1983.
4. 4. T. Ibukiyama, On differential operators on automorphic forms and invariant pluri-Harmonic polynomials, preprint MPI 97-38.
5. 5. T. Ibukiyama and D. Zagier, Higher spherical polynomials, in preparation.
6. 6. M. Kashiwara and M. Vergne, On the Segal-Weil representation and harmonic polynomials, Invent. Math. 44 (1978), 1-47.
7. 7. K. Koike and I. Terada, Young diagrammatic methods for the restriction of representations of complex classical Lie groups to reductive subgroups of maximal rank, Advances in Math. 79 (1990), 104-135.
8. 8. R. Rankin, The construction of automorphic forms from the derivatives of a given form, J. Indian Math. Soc. 20 (1956), 103-116.
9. 9. H. L. Resnikoff, On a class of linear differential equations for automorphic forms in several complex variables, Amer. J. Math. 95 (1973), 321-332.
10. 10. H. Weyl, The Classical Groups, Princeton Univ. Press, 1946.
11. 11. D. Zagier, Modular forms and differential operators, Proc. Indian Acad. Sci. (Math. Sci.) 104 (1) (1994), 57-75.