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
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.
针对不同类型电网互联时互联电力变换器IPC(interconnecting power converter)控制模式复杂、控制难度大等问题,提出一种用于互联多个高压直流和高压交流子电网的IPC新型电网形成GFM(grid-forming)控制方法。该方法利用模块化多电平变换...针对不同类型电网互联时互联电力变换器IPC(interconnecting power converter)控制模式复杂、控制难度大等问题,提出一种用于互联多个高压直流和高压交流子电网的IPC新型电网形成GFM(grid-forming)控制方法。该方法利用模块化多电平变换器MMC(modular multilevel converter)同时控制其AC和DC端电压,并提出2个双端口GFM MMC控制策略。针对单端口GFM控制和所提双端口GFM控制进行仿真对比,结果表明,与单端口GFM控制相比,双端口GFM控制方法对突发事件(如线路和发电机停运等)的处理更具弹性,且不需为电网中的IPC端口选择GFM或电网跟随GFL(grid-following)的控制方式。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.
