【摘 要】
:
It is conjecture that all positive integers congruent to 5, 6, 7 modulo 8 are congruent numbers and 100% of them are associated with nontrivial Heegner points. In this talk, we sketch that there are a
论文部分内容阅读
It is conjecture that all positive integers congruent to 5, 6, 7 modulo 8 are congruent numbers and 100% of them are associated with nontrivial Heegner points. In this talk, we sketch that there are at least 50% of them have non-trivial associated Heegner points and therefore are congruent numbers. This is about horizontal quadratic twists and is based on our joint work with Xinyi Yuan and Shouwu Zhang, and also recent work of Smith.
其他文献
随着3He气体资源短缺、价格飞涨,基于3He气体的中子探测器已经无法满足急剧增长的中子探测需求.基于6LiF/ZnS(Ag)闪烁体和波移光纤结构的中子探测器,具有较高的中子探测效率、较好的位置分辨率和可大面积拼接等优点,可以很好的满足国内中子谱仪对中子探测的迫切需求.本文提出一种管形中子探测器结构,其主要是由卷曲的双层闪烁屏与两根并行缠绕的波移光纤构成,热中子与闪烁屏反应生成的光信号被波移光纤吸收
中国散裂中子源(CSNS)于2008年开始工程建设,2018年8月28日的首次打靶处束,它的建成使中国拥有一流的大型中子散射多科学研究平台.CSNS一期建成的三台谱仪中,通用衍射谱仪(General Purpose Power Diffractometer,GPPD)主探测器采用自主研发的大面积闪烁体探测器阵列(NSDA),该探测器单元由双层闪烁屏、波移光纤阵列、多阳极光电倍增管及其读出电子学构成
In this work,we present a novel convolutional neural network(CNN)enabled Moir′e artifacts reduction framework for the three contrast mechanism images,i.e.,the absorption image,the differential phase c
Grating-based X-ray phase-contrast imaging(GPCI)provide complementary attenuation,phase,and scattering contrasts simultaneously,especially useful for imaging samples comprising of mostly low atomic nu
双能X射线计算机断层成像技术(DECT)能够准确的重建物质的有效原子序数和电子密度,是目前安检行业一种有效的物质辨别技术.X射线能谱估计在双能CT成像技术中起着重要作用.本文介绍了双能CT重建原理,基于最常用的透射数据估计法,重点研究基于CT图像重投影技术的能谱校正法.选用含有两种已知材质的均匀圆柱状模体,以蒙特卡罗模拟的能谱作为初值,运用最大期望算法(EM)校正X射线能谱分布.此方法提高了双能C
Based on the first principle of density functional theory,we study the band structure,electron density and optical properties of SrI2 and SrI2∶Eu crystals.The exchange and correlation potential is cal
针对实际工程应用中陶瓷基复合材料(CMC)板状构件三维成像及局部感兴趣区域更高分辨率成像需求,对CMC板状构件进行了感兴趣区域CT成像实验,CT成像分辨率达到28.4μm,实现了CMC板状构件感兴趣区域三维成像检测.从三维结构上分析了孔隙和典型编织缺陷特征,提取了内部孔隙和典型编织缺陷的三维形态,并进行了三维可视化.研究结果表明:感兴趣区域CT能够满足CMC板状构件重点关注区域的三维成像检测需求,
热障涂层的三维结构对其性能有非常重要的影响.以电子束物理气相沉积热障涂层为研究对象,进行了1050℃高温氧化实验,采用微米CT和聚焦离子束-扫描电镜进行三维成像,获得了EB-PVD热障涂层三维结构.通过三维分割得到了TGO、相互扩散区的三维分布、孔隙分布和微裂纹的三维分布,定量分析了TGO和微裂纹厚度.结果表明,微米CT、FIB-SEM对TGO厚度分析结果与扫描电镜分析结果基本一致,微裂纹平均厚度
An abelian variety defined over a number field and having complex multiplication(CM) has potentially good reduction everywhere. If a curve of positive genus which is defined over a number field has go
In this talk, we report a construction of universal Katos Euler system and its factorisation.