Elliptic curves with CM by
and 3-adic valuations of their L-series |
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| Authors: | Qiu Derong Zhang Xianke |
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| Institution: | 1.Tsinghua University, Center for Advanced Study, Beijing 100084, China,CN;2.Tsinghua University, Department of Mathematics, Beijing 100084, China. e-mail: xianke@tsinghua.edu.cn,CN |
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| Abstract: | Consider elliptic curves defined over the quadratic field ℚ. Hecke L-series attached to E are studied, formulae for their values at , and bound of 3-adic valuations of these values are given. These results are consistent with the predictions of the conjecture of Birch and Swinnerton-Dyer, and develop some results in recent literature. |
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| Keywords: | |
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