Vector valued theta functions associated with binary quadratic forms
Keyword(s):
AbstractWe study the space of vector valued theta functions for the Weil representation of a positive definite even lattice of rank two with fundamental discriminant. We work out the relation of this space to the corresponding scalar valued theta functions of weight one and determine an orthogonal basis with respect to the Petersson inner product. Moreover, we give an explicit formula for the Petersson norms of the elements of this basis.
1989 ◽
Vol 113
(3-4)
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pp. 211-213
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1989 ◽
Vol 105
(4)
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pp. 847-847
1980 ◽
Vol 12
(2)
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pp. 224-229
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1953 ◽
Vol 49
(1)
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pp. 63-71
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2014 ◽
Vol 10
(06)
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pp. 1395-1420
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1996 ◽
Vol 142
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pp. 95-132
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