Riemann Zeta函数零点分布的研究进展

1859年,Riemann以Euler恒等式作为研究的出发点,定义了复变数s=σ+it的函数—Riemann Zeta函数,对Zeta函数进行了非常深刻的研究,解析数论也正是沿着Riemann所指明的方向在二十世纪取得了迅速的发展. Riemann Zeta函数的零点与素数的分布有着非常密切的关系.首先简述了Riemann Zeta函数的解析性质:函数方程、非零区域、阶的估计、积分均值等,对Riemann Zeta函数的零点分布的研究动态进行了阐述,并利用零点密度估计的经典方法—零点探测法,证明了Ingham的经典结果.最后介绍了Riemann Zeta函数的高阶推广—自守L-函数的零点分布及应用的研究进展,其中也包括了作者近年来在这一领域所做的部分工作.     

关于二次线性迭代序列的一些恒等式（Ⅱ）

利用形式幂级数的变换技巧，得到了涉及乘法数论函数及广义Ｆｉｂｏｎａｃｃｉ数、广义Ｌｕｃａｓ数的倒数和的若干恒等式，所给出的恒等式均具有显式形式；当退化到特殊情形时，可分别得到一类有意义的无穷和式。     

Riordan阵和一些关于广义Genocchi数的结论(英文)

首先用Riordan阵和发生函数方法证明了一些关于广义Genocchi数与广义Stirling数和Lah数的恒等式.然后利用达布方法得到了一些包含广义Genocchi数和式的渐近值.     

一类新的包含Genocchi数与Riemann Zeta函数求和的计算公式

利用第二类Stirling数，建立了一类含有Genocchi数与Riemann Zeta函数求和的一般计算公式，推广了已有的结果，改进了有关结论．     

关于差分算子△的一些算子恒等式及其应用

利用发生函数得到了关于差分算子△的一些算子恒等式,并且讨论了它们在组合恒等式中的应用；给出了关于Bernoulli多项式、Bernoulli数、Stirling数等特殊组合数的一些递推关系和组合恒等式.     

关于Riemann Zeta函数的函数方程

本文给出Riemann Zeta函数方程的一个证法。 设Re(s)>1,Riemann Zeta函数ξ(s)由等式 ξ(S)=sum from n=1 to ∞(1/n~s)给定,它在Re(s)>1是解析的。     

广义Riemann可积与Lebesgue可积关系注记

研究了有限区间上无界函数及无限区间上函数的广义Riemann可积性、广义Riemann绝对可积性与Lebesgue可积性之间的关系，得到了一些充分必要条件。     

关于Bell多项式的一些恒等式

研究关于Bell多项式的恒等式。首先给出一些特殊多项式的生成函数,然后利用生成函数之间的关系,得到一些组合恒等式。作为这些恒等式的应用,给出第二类Stirling数的几个有趣性质。     

Lucas数的组合恒等式——微分方法

在组合数论中,涉及广义Lucas数的恒等式是一个非常深入和永久的问题,在相关研究中,发生函数的方法是证明和得到组合恒等式的一个基本而重要的方法.本文通过发生函数的方法并结合微分,得到了关于广义Lucas数的组合恒等式.     

广义Cauchy数的一些恒等式

利用Stirling数给出广义Cauchy数的显式计算公式, 并讨论其分别与Stirling数、 Bernoulli数和Euler数之间的关系, 得到了包含广义Cauchy数的一些恒等式, 并改进了已有的 卷积公式.     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Characterization of Ordovician carbonate reservoirs, southeastern Saskatchewan, Canada

The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3～4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰～ -7.8‰, PDB) and matrix dolomites (-6.6‰～ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084～0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078～0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

A computer generator for randomly layered structures

AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…     

An Index mechanism for multi-scale view in spatial databases

There are numerous geometric objects stored in the spatial databases. An importance function in a spatial database is that users can browse the geometric objects as a map efficiently. Thus the spatial database should display the geometric objects users concern about swiftly onto the display window. This process includes two operations:retrieve data from database and then draw them onto screen. Accordingly, to improve the efficiency, we should try to reduce time of both retrieving object and displaying them. The former can be achieved with the aid of spatial index such as R-tree, the latter require to simplify the objects. Simplification means that objects are shown with sufficient but not with unnecessary detail which depend on the scale of browse. So the major problem is how to retrieve data at different detail level efficiently. This paper introduces the implementation of a multi-scale index in the spatial database SISP (Spatial Information Shared Platform) which is generalized from R-tree. The difference between the generalization and the R-tree lies on two facets: One is that every node and geometric object in the generalization is assigned with a importance value which denote the importance of them, and every vertex in the objects are assigned with a importance value,too. The importance value can be use to decide which data should be retrieve from disk in a query. The other difference is that geometric objects in the generalization are divided into one or more sub-blocks, and vertexes are total ordered by their importance value. With the help of the generalized R-tree, one can easily retrieve data at different detail levels.Some experiments are performed on real-life data to evaluate the performance of solutions that separately use normal spatial index and multi-scale spatial index. The results show that the solution using multi-scale index in SISP is satisfying.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the