Jacobi theta series
نویسندگان
چکیده
منابع مشابه
Jacobi Theta Functions over Number Fields
We use Jacobi theta functions to construct examples of Jacobi forms over number fields. We determine the behavior under modular transformations by regarding certain coefficients of the Jacobi theta functions as specializations of symplectic theta functions. In addition, we show how sums of those Jacobi theta functions appear as a single coefficient of a symplectic theta function. 2000 Mathemati...
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to add 1. Curious q-series Identities Since Rogers [32] introduced the false theta functions, they have played a curious role in the theory of partitions (see for instance [1, 2, 12]). Andrews [3] defined a false theta function as any series of the shape ∑ n∈Z(±1)q 2+`n that has different signs for the nonzero terms. For example, Rogers proved (1.1) ∑ j≥0 q j(3j+1) 2 − ∑ j≤−1 q j(3j+1) 2 = ∑ j≥...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1989
ISSN: 0035-7596
DOI: 10.1216/rmj-1989-19-3-863