Let K_(j)/Q,1≤j≤ν,ν≥2 be quadratic fields with pairwise coprime discriminants Dj,and let τ_(kj)^(K_(j))(n)be the divisor function associated to Dedekind zeta function SK_(j)(s).In this paper,we consider a multid...Let K_(j)/Q,1≤j≤ν,ν≥2 be quadratic fields with pairwise coprime discriminants Dj,and let τ_(kj)^(K_(j))(n)be the divisor function associated to Dedekind zeta function SK_(j)(s).In this paper,we consider a multidimensional general divisor problem related to the τ_(kj)^(K_(j))(n)involving several number fields over square integers,by establishing the corresponding asymptotic formula.As an application,we also obtain the asymptotic formula of variance of these coefi icients.展开更多
In this paper we introduce a symmetric zeta function,prove that it can be analytically continued to a meromorphic function on C^(3)with only simple poles on certain special hyperplanes,and calculate the multiple resid...In this paper we introduce a symmetric zeta function,prove that it can be analytically continued to a meromorphic function on C^(3)with only simple poles on certain special hyperplanes,and calculate the multiple residue values at particular singular points.For a divergent multiple series that can be regarded as the value of the symmetric zeta function at the point(1,1,1),we conduct a detailed analysis on its growth behavior and establish a connection with the classical Euler constant.展开更多
目的探讨成束延伸蛋白zeta-1(fasciculation and elongation protein zeta-1,FEZ1)在糖尿病心肌病发病过程中发挥的作用。方法25 mmol/L葡萄糖(high glucose,HG)和500μmol/L棕榈酸(palmitic acid,PA)培养大鼠心肌细胞(H9C2)18 h,建立...目的探讨成束延伸蛋白zeta-1(fasciculation and elongation protein zeta-1,FEZ1)在糖尿病心肌病发病过程中发挥的作用。方法25 mmol/L葡萄糖(high glucose,HG)和500μmol/L棕榈酸(palmitic acid,PA)培养大鼠心肌细胞(H9C2)18 h,建立体外糖尿病心肌病细胞模型。采用实时定量聚合酶链反应(quantitative real time polymerase chain reaction,qRT-PCR)和蛋白质印迹(Western blotting,WB)检测FEZ1基因的表达,采用流式细胞分选术和TUNEL染色观察小干扰RNA(small interfering RNA,siRNA)下调FEZ1表达以及病毒过表达FEZ1两种模式下H9C2细胞凋亡和氧化应激情况。结果转录组测序技术(RNA sequencing,RNA seq)显示利用HG+PA处理的H9C2细胞中FEZ1表达上调。抑制FEZ1的表达则加重了HG+PA导致的心肌细胞活性氧(reactive oxygen species,ROS)堆积及凋亡。过表达FEZ1减少了HG+PA导致的心肌细胞ROS浓度,继而减轻了细胞凋亡。结论高糖高脂诱导下心肌细胞上调FEZ1表达,可以减轻细胞氧化应激和细胞凋亡;过表达FEZ1可逆转心肌损伤,且氧化应激可能作为其潜在机制。FEZ1有机会成为糖尿病心肌病的一种靶向治疗目标。展开更多
In a fractal zeta universe of bifurcated, ripped spacetime, the Millikan experiment, the quantum Hall effect, atmospheric clouds and universe clouds are shown to be self-similar with mass ratio of about 1020. Chaotic ...In a fractal zeta universe of bifurcated, ripped spacetime, the Millikan experiment, the quantum Hall effect, atmospheric clouds and universe clouds are shown to be self-similar with mass ratio of about 1020. Chaotic one-dimensional period-doublings as iterated hyperelliptic-elliptic curves are used to explain n-dim Kepler- and Coulomb singularities. The cosmic microwave background and cosmic rays are explained as bifurcated, ripped spacetime tensile forces. First iterated binary tree cloud cycles are related to emissions 1…1000 GHz. An interaction-independent universal vacuum density allows to predict large area correlated cosmic rays in quantum Hall experiments which would generate local nuclear disintegration stars, enhanced damage of layers and enhanced air ionization. A self-similarity between conductivity plateau and atmospheric clouds is extended to correlations in atmospheric layer, global temperature and climate.展开更多
In this paper, we proposed an output voltage stabilization of a DC-DC Zeta converter using hybrid control. We modeled the Zeta converter under continuous conduction mode operation. We derived a switching control law t...In this paper, we proposed an output voltage stabilization of a DC-DC Zeta converter using hybrid control. We modeled the Zeta converter under continuous conduction mode operation. We derived a switching control law that brings the output voltage to the desired level. Due to infinite switching occurring at the desired level, we enhanced the switching control law by allowing a sizeable output voltage ripple. We derived mathematical models that allow one to choose the desired switching frequency. In practice, the existence of the non-ideal properties of the Zeta converter results in steady-state output voltage error. By analyzing the power loss in the zeta converter, we proposed an improved switching control law that eliminates the steady-state output voltage error. The effectiveness of the proposed method is illustrated with simulation results.展开更多
基金Supported in part by NSFC(Nos.12401011,12201214)National Key Research and Development Program of China(No.2021YFA1000700)+3 种基金Shaanxi Fundamental Science Research Project for Mathematics and Physics(No.23JSQ053)Science and Technology Program for Youth New Star of Shaanxi Province(No.2025ZC-KJXX-29)Natural Science Basic Research Program of Shaanxi Province(No.2025JC-YBQN-091)Scientific Research Foundation for Young Talents of WNU(No.2024XJ-QNRC-01)。
文摘Let K_(j)/Q,1≤j≤ν,ν≥2 be quadratic fields with pairwise coprime discriminants Dj,and let τ_(kj)^(K_(j))(n)be the divisor function associated to Dedekind zeta function SK_(j)(s).In this paper,we consider a multidimensional general divisor problem related to the τ_(kj)^(K_(j))(n)involving several number fields over square integers,by establishing the corresponding asymptotic formula.As an application,we also obtain the asymptotic formula of variance of these coefi icients.
基金supported by the National Natural Science Foundation of China(No.12571009)。
文摘In this paper we introduce a symmetric zeta function,prove that it can be analytically continued to a meromorphic function on C^(3)with only simple poles on certain special hyperplanes,and calculate the multiple residue values at particular singular points.For a divergent multiple series that can be regarded as the value of the symmetric zeta function at the point(1,1,1),we conduct a detailed analysis on its growth behavior and establish a connection with the classical Euler constant.
文摘In a fractal zeta universe of bifurcated, ripped spacetime, the Millikan experiment, the quantum Hall effect, atmospheric clouds and universe clouds are shown to be self-similar with mass ratio of about 1020. Chaotic one-dimensional period-doublings as iterated hyperelliptic-elliptic curves are used to explain n-dim Kepler- and Coulomb singularities. The cosmic microwave background and cosmic rays are explained as bifurcated, ripped spacetime tensile forces. First iterated binary tree cloud cycles are related to emissions 1…1000 GHz. An interaction-independent universal vacuum density allows to predict large area correlated cosmic rays in quantum Hall experiments which would generate local nuclear disintegration stars, enhanced damage of layers and enhanced air ionization. A self-similarity between conductivity plateau and atmospheric clouds is extended to correlations in atmospheric layer, global temperature and climate.
文摘In this paper, we proposed an output voltage stabilization of a DC-DC Zeta converter using hybrid control. We modeled the Zeta converter under continuous conduction mode operation. We derived a switching control law that brings the output voltage to the desired level. Due to infinite switching occurring at the desired level, we enhanced the switching control law by allowing a sizeable output voltage ripple. We derived mathematical models that allow one to choose the desired switching frequency. In practice, the existence of the non-ideal properties of the Zeta converter results in steady-state output voltage error. By analyzing the power loss in the zeta converter, we proposed an improved switching control law that eliminates the steady-state output voltage error. The effectiveness of the proposed method is illustrated with simulation results.
