数域上椭圆曲线解析秩矩的上界
Upper bounds for moments of analytic ranks of elliptic curves over number fields
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中文总结 AI 辅助
研究数域上椭圆曲线解析秩矩的上界，通过证明条件上界及解析秩大于给定界的椭圆曲线密度的条件界来进行研究。
中文摘要 AI 辅助
我们证明了数域上椭圆曲线解析秩矩的一个条件上界。我们还证明了具有大于给定界的解析秩的椭圆曲线密度的条件界。
英文摘要
We prove a conditional upper bound for moments of the analytic rank of elliptic curves over number fields. We also prove conditional bounds for the density of elliptic curves with analytic rank larger than a given bound.
