Siegel theta series for indefinite quadratic forms. (English) Zbl 1472.11148
M.-F. Vignéras has given a simple criterion for the general construction of elliptic modular forms as theta series associated with an indefinite quadratic form by using a differential equation of second order [Lect. Notes Math. 627, 227–239 (1977; Zbl 0363.10017)].
The paper under review generalizes this result to Siegel theta series.
The paper under review generalizes this result to Siegel theta series.
Reviewer: Meinhard Peters (Münster)
MSC:
| 11F46 | Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms |
| 11F27 | Theta series; Weil representation; theta correspondences |
| 11F37 | Forms of half-integer weight; nonholomorphic modular forms |
Keywords:
Siegel modular forms; Siegel theta series; non-holomorphic modular forms; homogeneous polynomialsCitations:
Zbl 0363.10017References:
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