论文标题
预期的Mordell-Weil通过Sato-Tate，Birch和Swinnerton-Dyer猜想
Expected Mordell-Weil rank heuristics through Sato-Tate, Birch and Swinnerton-Dyer conjectures
论文作者
论文摘要
我们提出了一种启发式论点，即使用桦木和Swinnerton-Dyer的原始猜想和SATO-TATE猜想来预测椭圆曲线预期椭圆曲线的预期Mordell-Weil等级。在某些情况下，我们进行计算，并提出有关其关系（如果有的话）的问题，并对已考虑的各种平均等级模型的预测进行了预测。
We present an heuristic argument for the prediction of expected Mordell-Weil rank of elliptic curves over number fields, using Birch and Swinnerton-Dyer's original conjecture and Sato-Tate conjectures. We do calculations in some cases and raise questions about their relations, if any, with the predictions of various average rank models that have been considered.
