EFFECTIVE l 2 DECOUPLING FOR THE PARABOLA
EFFECTIVE l 2 DECOUPLING FOR THE PARABOLA
复制标题
抛物线的有效 l 2 解耦
DOI：
10.1112/mtk.12038
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发表时间：
2020
期刊：
影响因子：
0.8
通讯作者：
Li, Zane Kun
中科院分区：
文献类型：
--
作者：
Li, Zane Kun
我们对范围内的抛物线进行了有效的耦合。在与Jean Bourain联合的附录中，我们应用主要定理证明了在极端情况下方程的整数解的六阶相关性的猜想的界。这无条件地证明了在Bombieri和Bourain[Int.数学课。结果。不是。[IMRN2015(11)，3343-3407]在Birch和Swinnerton-Dyer猜想和Riemann猜想下，得到了椭圆曲线的函数。
We make effectivedecoupling for the parabola in the range. In an appendix joint with Jean Bourgain, we apply the main theorem to prove the conjectural bound for the sixth‐order correlation of the integer solutions of the equationin an extremal case. This proves unconditionally a result that was proven in Bombieri and Bourgain [Int. Math. Res. Not. IMRN2015(11), 3343–3407] under the hypotheses of the Birch and Swinnerton–Dyer conjecture and the Riemann Hypothesis forL‐functions of elliptic curves over.