On super theta functions
نویسندگان
چکیده
منابع مشابه
Theta functions on covers of symplectic groups
We study the automorphic theta representation $Theta_{2n}^{(r)}$ on the $r$-fold cover of the symplectic group $Sp_{2n}$. This representation is obtained from the residues of Eisenstein series on this group. If $r$ is odd, $nle r
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n≥0(−1) nq (n−1)n 2 xn are called partial theta functions. In his lost noteboook, Ramanujan recorded many identities for these functions. A few years ago Warnaar found an elegant formula for a sum of two partial theta series. Subsequently, Andrews and Warnaar established a similar result for the product of two partial theta functions. In this note we discuss the relation between the Andrews–War...
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The Kodaira–Thurston manifold M is a compact, 4-dimensional nilmanifold which is symplectic and complex but not Kähler. We describe a construction of θ-functions associated to M which parallels the classical theory of θ-functions associated to the torus (from the point of view of representation theory and geometry), and yields pseudoperiodic complex-valued functions on R. There exists a three-s...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1994
ISSN: 2156-2261
DOI: 10.1215/kjm/1250518937