A construction of A-adic modular forms from p-adic modular symbols is described. It shows that each A linear map satisfying some certain conditions from the module of p-adic modular symbols to A corresponds to a A-adi...A construction of A-adic modular forms from p-adic modular symbols is described. It shows that each A linear map satisfying some certain conditions from the module of p-adic modular symbols to A corresponds to a A-adic modular form.展开更多
This paper gives a new identification for Siegel modular forms with respect to any congru-ence subgroup by investigating the properties of their Fourier-Jacobi expansions, and verifies a com-parison theorem for the di...This paper gives a new identification for Siegel modular forms with respect to any congru-ence subgroup by investigating the properties of their Fourier-Jacobi expansions, and verifies a com-parison theorem for the dimensions of the spaces Snk(n) and Jk,10(n) with small weight k. These results can be used to estimate the dimension of the space of modular forms.展开更多
In this paper a kind of theta function is constructed by means of spherical function. And we also obtain some Hilbert modular forms of half integral weight.
Atkin and Lehner studied the theory of new forms of the space S<sub>2k</sub>（N） of cusp forms with group Γ<sub>0</sub>（N） and weight 2k and proved that S<sub>2k</sub>（N）=S<...Atkin and Lehner studied the theory of new forms of the space S<sub>2k</sub>（N） of cusp forms with group Γ<sub>0</sub>（N） and weight 2k and proved that S<sub>2k</sub>（N）=S<sub>2k</sub><sup>n</sup>ew（N）⊕S<sub>2k</sub><sup>o</sup>ld（N）and there exists a basis in S<sub>2k</sub><sup>n</sup>ew（N） which are eigenvectors for all Hecke operators but there exists a basis in S<sub>2k</sub><sup>o</sup>ld（N） which are eigenvectors for only those Hecke operators T（p）((p,展开更多
真核生物RNA聚合酶Ⅳ(polymerasesⅣ,PolⅣ)和Ⅴ(PolⅤ)是植物特有的RNA指导DNA甲基化(RNA-directed DNA methylation,RdDM)通路的核心酶,介导重要的表观遗传调控过程。当前分子生物学教材对其介绍明显不足,制约了学生对该领域的深入理...真核生物RNA聚合酶Ⅳ(polymerasesⅣ,PolⅣ)和Ⅴ(PolⅤ)是植物特有的RNA指导DNA甲基化(RNA-directed DNA methylation,RdDM)通路的核心酶,介导重要的表观遗传调控过程。当前分子生物学教材对其介绍明显不足,制约了学生对该领域的深入理解。本文基于RNA PolⅣ与RDR2协同组装、RNA PolⅤ转录停滞等最新结构生物学进展,系统阐述其亚基组成、结构特征与功能分工;进而依据建构主义及循证教学原则,提出以概念脚手架和科学叙事法更新教材内容,并引入可视化分析、角色模拟与案例研讨等教学方法,构建了面向知识-能力-素养协同培养的教学范式,为弥合学科前沿与课堂教学的差距提供系统解决方案,并为农林院校分子生物学课程改革与创新人才培养提供了可借鉴的范式。展开更多
The modular properties of generalized theta-functions with characteristics are used to build cusp form corresponding to quadratic forms in ten variables.
Here, we determine formulae, for the numbers of representations of a positive integer by certain sextenary quadratic forms whose coefficients are 1, 2, 3 and 6.
We consider G=Q_(8),SD_(16),G_(24),and G_(48)as finite subgroups of the Morava stabilizer group which acts on the height 2 Morava E-theory E_(2)at the prime 2.We completely compute the G-homotopy fixed point spectral ...We consider G=Q_(8),SD_(16),G_(24),and G_(48)as finite subgroups of the Morava stabilizer group which acts on the height 2 Morava E-theory E_(2)at the prime 2.We completely compute the G-homotopy fixed point spectral sequences of E_(2).Our computation uses recently developed equivariant techniques since Hill,Hopkins,and Ravenel.We also compute the(∗−σ_(i))-graded Q_(8)-and SD_(16)-homotopy fixed point spectral sequences,whereσ_(i)is a non-trivial one-dimensional representation of Q_(8).展开更多
“双碳”目标的确立推动了新能源的快速发展。大规模电力电子设备的接入,使得电网呈现低惯量的特性。基于模块化多电平变换器(modular multilevel converter,MMC)的柔性直流输电系统在连接弱电网的场景下,其换流站采用虚拟同步机(virtua...“双碳”目标的确立推动了新能源的快速发展。大规模电力电子设备的接入,使得电网呈现低惯量的特性。基于模块化多电平变换器(modular multilevel converter,MMC)的柔性直流输电系统在连接弱电网的场景下,其换流站采用虚拟同步机(virtual synchronous generator,VSG)控制来模拟同步发电机的机械特性,可以为新能源系统提供惯量支撑。为满足不同工况,换流站需要在两种控制模式--构网型控制和跟网型控制之间进行切换。文中提出了一种MMC-高压直流输电(high voltage direct current,HVDC)换流站构网型和跟网型控制无缝切换技术,在不改变内环电流控制的前提下,通过构建构网型和跟网型控制统一的外环参考电流,保证换流站输出电压在切换过程中功角和幅值的连续性。仿真结果表明,所提的无缝切换技术可以有效降低控制切换过程对系统造成的过流或者过压影响。展开更多
基金Supported by the Natural Science Foundation of Peking University
文摘A construction of A-adic modular forms from p-adic modular symbols is described. It shows that each A linear map satisfying some certain conditions from the module of p-adic modular symbols to A corresponds to a A-adic modular form.
文摘This paper gives a new identification for Siegel modular forms with respect to any congru-ence subgroup by investigating the properties of their Fourier-Jacobi expansions, and verifies a com-parison theorem for the dimensions of the spaces Snk(n) and Jk,10(n) with small weight k. These results can be used to estimate the dimension of the space of modular forms.
文摘In this paper a kind of theta function is constructed by means of spherical function. And we also obtain some Hilbert modular forms of half integral weight.
文摘Atkin and Lehner studied the theory of new forms of the space S<sub>2k</sub>（N） of cusp forms with group Γ<sub>0</sub>（N） and weight 2k and proved that S<sub>2k</sub>（N）=S<sub>2k</sub><sup>n</sup>ew（N）⊕S<sub>2k</sub><sup>o</sup>ld（N）and there exists a basis in S<sub>2k</sub><sup>n</sup>ew（N） which are eigenvectors for all Hecke operators but there exists a basis in S<sub>2k</sub><sup>o</sup>ld（N） which are eigenvectors for only those Hecke operators T（p）((p,
文摘真核生物RNA聚合酶Ⅳ(polymerasesⅣ,PolⅣ)和Ⅴ(PolⅤ)是植物特有的RNA指导DNA甲基化(RNA-directed DNA methylation,RdDM)通路的核心酶,介导重要的表观遗传调控过程。当前分子生物学教材对其介绍明显不足,制约了学生对该领域的深入理解。本文基于RNA PolⅣ与RDR2协同组装、RNA PolⅤ转录停滞等最新结构生物学进展,系统阐述其亚基组成、结构特征与功能分工;进而依据建构主义及循证教学原则,提出以概念脚手架和科学叙事法更新教材内容,并引入可视化分析、角色模拟与案例研讨等教学方法,构建了面向知识-能力-素养协同培养的教学范式,为弥合学科前沿与课堂教学的差距提供系统解决方案,并为农林院校分子生物学课程改革与创新人才培养提供了可借鉴的范式。
文摘The modular properties of generalized theta-functions with characteristics are used to build cusp form corresponding to quadratic forms in ten variables.
文摘Here, we determine formulae, for the numbers of representations of a positive integer by certain sextenary quadratic forms whose coefficients are 1, 2, 3 and 6.
基金supported by the National Science Foundation under Grant No.DMS-1926686supported by grant NSFC-12226002,the Shanghai Rising-Star Program under Agreement No.20QA1401600Shanghai Pilot Program for Basic Research-Fudan University 21TQ1400100(21TQ002).
文摘We consider G=Q_(8),SD_(16),G_(24),and G_(48)as finite subgroups of the Morava stabilizer group which acts on the height 2 Morava E-theory E_(2)at the prime 2.We completely compute the G-homotopy fixed point spectral sequences of E_(2).Our computation uses recently developed equivariant techniques since Hill,Hopkins,and Ravenel.We also compute the(∗−σ_(i))-graded Q_(8)-and SD_(16)-homotopy fixed point spectral sequences,whereσ_(i)is a non-trivial one-dimensional representation of Q_(8).
文摘“双碳”目标的确立推动了新能源的快速发展。大规模电力电子设备的接入,使得电网呈现低惯量的特性。基于模块化多电平变换器(modular multilevel converter,MMC)的柔性直流输电系统在连接弱电网的场景下,其换流站采用虚拟同步机(virtual synchronous generator,VSG)控制来模拟同步发电机的机械特性,可以为新能源系统提供惯量支撑。为满足不同工况,换流站需要在两种控制模式--构网型控制和跟网型控制之间进行切换。文中提出了一种MMC-高压直流输电(high voltage direct current,HVDC)换流站构网型和跟网型控制无缝切换技术,在不改变内环电流控制的前提下,通过构建构网型和跟网型控制统一的外环参考电流,保证换流站输出电压在切换过程中功角和幅值的连续性。仿真结果表明,所提的无缝切换技术可以有效降低控制切换过程对系统造成的过流或者过压影响。
