阿里云分分

山东阿里云分分新闻网
| | 高级检索 |
复杂检索

视点阿里云分分 > 学术预告 > 正文

数学学院珠峰讲坛第185期:Prime lattice points in ovals

发布日期:2020年04月25日 08:28 点击次数:

一、讲坛主题

阿里云分分Prime lattice points in ovals

二、主讲人

Zeev Rudnick

三、摘要

阿里云分分The study of the number of lattice points in dilated regions has a long history, with several outstanding open problems. In this lecture, I will describe a new variant of the problem, in which we study the distribution of lattice points with prime coordinates. We count lattice points in which both coordinates are prime, suitably weighted, which lie in the dilate of a convex planar domain having smooth boundary, with nowhere vanishing curvature. We obtain an asymptotic formula, with the main term being the area of the dilated domain, and our goal is to study the remainder term. Assuming the Riemann Hypothesis, we give a sharp upper bound, and further assuming that the positive imaginary parts of the zeros of the Riemann zeta functions are linearly independent over the rationals allows us to give a formula for the value distribution function of the properly normalized remainder term. Time permitting, I will explain some background motivation coming from Quantum Chaos.(joint work with Bingrong Huang)

四、主讲人简介

阿里云分分Zeev Rudnick (Tel Aviv University)

五、邀请人

黄炳荣

六、时间

4月27日(周一)15:00-16:00

七、讲座形式

阿里云分分加入Zoom会议,会议ID:635 813 7757

八、主办单位

山东阿里云分分数学学院


【作者:鲁皓    来自:数学学院    编辑:新闻网工作室    责任编辑:王莉莉  】

 匿名发布 验证码 看不清楚,换张图片
0条评论    共1页   当前第1拖动光标可翻页查看更多评论

最新发布

新闻排行

免责声明

您是本站的第: 位访客

您是本站的第:64104994 位访客

阿里云分分电话:0531-88362831 0531-88369009 联系信箱:xwzx@whssoccer.com

阿里云分分建议使用IE8.0以上浏览器和1366*768分辨率浏览本站以取得最佳浏览效果

欢迎关注山大视点微信