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The action of the heat operator on Jacobi forms
Author(s):
Olav
K.
Richter
Journal:
Proc. Amer. Math. Soc.
137
(2009),
869-875.
MSC (2000):
Primary 11F50;
Secondary 11F60
Posted:
September 15, 2008
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Abstract:
We investigate the action of the heat operator on Jacobi forms. In particular, we present two explicit characterizations of this action on Jacobi forms of index  . Furthermore, we study congruences and filtrations of Jacobi forms. As an application, we determine when an analog of Atkin's  -operator applied to a Jacobi form is nonzero modulo a prime.
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Additional Information:
Olav
K.
Richter
Affiliation:
Department of Mathematics, University of North Texas, Denton, Texas 76203
Email:
richter@unt.edu
DOI:
10.1090/S0002-9939-08-09566-X
PII:
S 0002-9939(08)09566-X
Received by editor(s):
March 5, 2008
Posted:
September 15, 2008
Communicated by:
Ken Ono
Copyright of article:
Copyright
2008,
American Mathematical Society
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