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.
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.
