Theta functions of indefinite quadratic forms over real number fields |
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| Authors: | Olav K. Richter |
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| Affiliation: | Department of Mathematics, University of California, San Diego, California 92093-0112 |
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| Abstract: | We define theta functions attached to indefinite quadratic forms over real number fields and prove that these theta functions are Hilbert modular forms by regarding them as specializations of symplectic theta functions. The eighth root of unity which arises under modular transformations is determined explicitly. |
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