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TWO: 作品数：5318被引量：6549H指数：21; 导出分析报告; 相关领域：理学更多>>; 相关作者：杨定匡廷云吴鸿余晓霞焦德茂更多>>; 相关机构：中国科学院西安外国语大学北京大学复旦大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家高技术研究发展计划中国博士后科学基金更多>>

First Passage Density of Brownian Motion with Two-sided Piecewise Linear Boundaries: 《Acta Mathematica Sinica,English Series》2024年第6期1505-1520,共16页Zhen YU Mao Zai TIAN; Supported by the Fundamental Research Funds for the Central Universities,the Research Funds of Renmin University of China(Grant No.22XNL016)。; The first passage time has many applications in fields like finance,econometrics,statistics,and biology.However,explicit formulas for the first passage density have only been obtained for a few cases.This paper derive...; 关键词：Boundary non-crossing probability first density passage density two-sided piecewise continuous boundaries Brownian motion

Proof of Two Supercongruences of Truncated Hypergeometric Series_(4)F_(3): 《Acta Mathematica Sinica,English Series》2024年第4期1015-1028,共14页Guo Shuai MAO; Supported by the National Natural Science Foundation of China(Grant No.12001288)。; In this paper,we prove two supercongruences conjectured by Z.-W.Sun via the Wilf-Zeilberger method.One of them is,for any prime p>3,4F3[7/6 1/2 1/2 1/2 1/6 1 1]-1/8]-1/2≡p(-2/p)+p^(3)/4(2/p)Ep-3 (mod p^(4))where(·/p...; 关键词：Supercongruence truncated hypergeometric series Wilf–Zeilberger method Euler numbers Legendre symbol

Monotone Chains in Modulus of Two Classes of Dirichlet Coefficients: 《Acta Mathematica Sinica,English Series》2023年第6期1101-1114,共14页Guang Shi Lü Qiang MA; Supported by the National Key Research and Development Program of China(Grant No.2021YFA1000700);NSFC(Grant No.12031008)。; Let f1,...,fkand g1,...,qkbe non-CM newforms of square-free levels.Denote byλ_(sym)jf_(i)(n)the coefficients of the Dirichlet expansion of L(sym^(j)f_(i),s)andν1,...,νkthe distinct positive integers such thatλ_(sy...; 关键词：Dirichlet coefficients Sato-Tate conjecture

On Two Natural Extensions of n-normality: 《Acta Mathematica Sinica,English Series》2023年第6期1147-1152,共6页Salah MECHERI; A bounded linear operator T on a complex Hilbert space H is called n-normal if T^(*)T^(n)=T^(n)T^(*).By Fuglede’s theorem T is n-normal if and only if T^(n)is normal.Let k,n∈N.Then a bounded linear operator T is sai...; 关键词：Normal operator n-normal operator invariant subspace

Two Weighted Estimates for the Commutators of Multilinear Maximal Singular Integral Operators with Dini-type Kernels: 《Acta Mathematica Sinica,English Series》2023年第3期459-480,共22页Chun Mei ZHANG; Supported by NSFC(Grant No.11871101)。; The main purpose of this paper is to investigate the properties of the higher order commutators of maximal Calderón-Zygmund operators with Dini-type kernels.Two weighted estimates have been established for these comm...; 关键词：COMMUTATORS sparse domination multlinear maximal singular integral operators Dinitype kenels two weighted boundedness

A Two Sample Test based on U-statistic for Functional Data: 《Acta Mathematica Sinica,English Series》2023年第3期533-552,共20页Wen Juan HU Liang WANG Bao Xue ZHANG Guo Chang WANG; Supported by the National Natural Science Foundation of China(Grant Nos.11671268 and 12271370);the Guangdong Basic and Applied Basic Research Foundation(Grant No.2020A1515010821);the Fundamental Research Funds for the Central Universities(Grant No.12619624);Supported by the Research Start-up Fund for new young Teachers of Capital University of Economics and Business(Grant No.00592254417068)。; We propose a two-sample test for the mean functions of functional data when the number of bases is much lager than the sample size.The novel test is based on U-statistics which avoids estimating the covariance operato...; 关键词：Mean test functional data U-STATISTICS two sample

On Finite Groups that are the Product of Two Subnormal Supersoluble Subgroups: 《Acta Mathematica Sinica,English Series》2023年第1期30-36,共7页John COSSEY Yang Ming LI; supported by the project of NSF of China(Grant No.12071092);the major project of Basic and Applied Research(Natural Science)in Guangdong Province,China(Grant No.2017KZDXM058);the Science and Technology Program of Guangzhou Municipality,China(Grant No.201804010088)。; Denote the class of finite groups that are the product of two normal supersoluble subgroups and the class of groups that are the product of two subnormal supersoluble subgroups by B_(1)and B_(2),respectively.In this p...; 关键词：Finite group supersoluble group normal subgroup subnormal subgroup product of subgroups

A Note on the Heat Kernel for the Rescaled Harmonic Oscillator from Two Step Nilpotent Lie Groups: 《Acta Mathematica Sinica,English Series》2022年第9期1597-1611,共15页Zhi Peng YANG; Supported by the National Natural Science Foundation of China (Grant Nos.12101546,11771385)。; In this note,we use Schr?dinger representations and the Fourier transform on two step nilpotent Lie groups to compute the explicit formula of the sub-Laplacian operator and its symbol,which is associated with the resc...; 关键词：SUB-LAPLACIAN heat kernel nilpotent Lie groups

On the Sixth Power Mean of the Two-term Exponential Sums被引量：4: 《Acta Mathematica Sinica,English Series》2022年第3期510-518,共9页Wen Peng ZHANG Yuan Yuan MENG; Supported by NSFC(Grant No.11771351);NSBRP(Grant No.2019JM-207)。; The main purpose of this article is to study the calculating problem of the sixth power mean of the two-term exponential sums,and give an interesting calculating formula for it.At the same time,the paper also provides...; 关键词：The two-term exponential sums the sixth power mean

Groups with One or Two Super-Brauer Character Theories: 《Acta Mathematica Sinica,English Series》2020年第4期379-394,共16页Xiao You CHEN Mark LLEWIS; supported by China Scholarship Council;the Fund for Young Key Teachers of Henan University of Technology;the Fund of Henan Administration of Foreign Experts Affairs;the Project of Henan Province(Grant No.182102410049);the NSFC(Grant Nos.11571129,11771356,11971189 and 11926330)。; A super-Brauer character theory of a group G and a prime p is a pair consisting of a partition of the irreducible p-Brauer characters and a partition of the p-regular elements of G that satisfy certain properties.We c...; 关键词：Super character theory super-Brauer character theory Brauer characters

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