A decomposition theorem on differential polynomials of theta functions
نویسندگان
چکیده
منابع مشابه
A Decomposition Theorem on Differential Polynomials of Theta Functions of High Level
Let h and g be two positive integers. We fix an element Ω of the Siegel upper half plane H g := Z ∈ C (g,g) | Z = t Z, Im Z > 0 of degree g once and for all. Let M be positive symmetric, even integral matrix of degree h. An entire function f on C (h,g) satisfying the transformation behaviour F (W + ξΩ + η) = exp −πiσ(M(ξΩ t ξ + 2W t ξ)) f (W) for all W ∈ C (h,g) and (ξ, η) ∈ Z (h,g) × Z (h,g) i...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1984
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000021176