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QUADRATIC: 作品数：643被引量：699H指数：11; 导出分析报告; 相关领域：理学更多>>; 相关作者：叶惟寅王哲陈雷邢作霞孙宏利更多>>; 相关机构：南京航空航天大学西北工业大学南京农业大学武汉大学更多>>; 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教育部博士点基金国家高技术研究发展计划更多>>

Lower Bounds for Moments of Quadratic Twisted Self-dual GL(3)Central L-values: 《Acta Mathematica Sinica,English Series》2023年第11期2139-2148,共10页Sheng Hao HUA Bing Rong HUANG; National Key R&D Program of China(Grant No.2021YFA1000700);NSFC(Grant Nos.12001314 and 12031008)。; In this paper,we prove the conjectured order lower bound for the k-th moment of central values of quadratic twisted self-dual GL(3)L-functions for all k≥1,based on our recent work on the twisted first moment of centr...; 关键词：GL(3)cusp form lower bound quadratic twist central value L-FUNCTION

Bifurcation of Limit Cycles for a Perturbed Piecewise Quadratic Diferential Systems: 《Acta Mathematica Sinica,English Series》2022年第3期591-611,共21页Gui Lin JI Chang Jian LIU Peng Heng LI; Supported by NSFC(Grant No.11771315)。; In this paper,the bifurcation of limit cycles for planar piecewise smooth systems is studied which is separated by a straight line.We give a new form of Abelian integrals for piecewise smooth systems which is simpler ...; 关键词：Piecewise system limit cycle Abelian integral

Dirac Operators on Quadratic Lie Superalgebras: 《Acta Mathematica Sinica,English Series》2021年第8期1229-1253,共25页Yi Fang KANG Zhi Qi CHEN; Supported by National Natural Science Foundation of China(Grant Nos.11571182 and 11931009);the Talents Foundation of Central South University of Forestry and Technology(Grant No.104-0089);Natural Science Foundation of Tianjin(Grant No.19JCYBJC30600)。; Assume thatτis a finite dimensional complex Lie superalgebra with a non-degenerate super-symmetric invariant bilinear form,p is a finite dimensional complex super vector space with a nondegenerate super-symmetric bil...; 关键词：Quadratic Lie superalgebra exterior algebra Clifford algebra Dirac operator

Multiplicity of Periodic Solutions for Second Order Hamiltonian Systems with Asymptotically Quadratic Conditions被引量：2: 《Acta Mathematica Sinica,English Series》2020年第1期55-65,共11页Peng LIU Fei GUO; Supported by National Natural Science Foundation of China(Grant Nos.11371276,10901118);Elite Scholar Program in Tianjin University,P.R.China; A class of second order non-autonomous Hamiltonian systems with asymptotically quadratic conditions is considered in this paper.Using Fountain Theorem,one multiplicity result of periodic solutions is obtained,which im...; 关键词：Second order Hamiltonian systems asymptotically quadratic conditions Fountain Theorem periodic solution MULTIPLICITY

Hopf Cyclicity of a Family of Generic Reversible Quadratic Systems with One Center: 《Acta Mathematica Sinica,English Series》2019年第10期1586-1594,共9页Ji Hua WANG; Supported by the National Natural Science Foundations of China(Grant No.11601385); This paper is concerned with small quadratic perturbations to one parameter family of generic reversible quadratic vector fields with a simple center. The first objective is to show that this system exhibits two small...; 关键词：QUADRATIC REVERSIBLE system limit cycle WEAK focus HOPF BIFURCATION

Quadratic Lie Superalgebras Generalized by Balinsky–Novikov Superalgebras: 《Acta Mathematica Sinica,English Series》2019年第2期213-226,共14页Yi TAO Zhi Qi CHEN Yan WANG; Supported by National Natural Science Foundation of China(Grant No.11401425); Balinsky–Novikov superalgebras were introduced by Balinsky for constructing super-Virasoro type Lie superalgebras. In this paper, we give sufficient and necessary conditions for a Lie superalgebra generalized by a Ba...; 关键词：Balinsky-Novikov SUPERALGEBRA LIE SUPERALGEBRA QUADRATIC LIE SUPERALGEBRA

Symplectic Self-adjointness of Infinite Dimensional Hamiltonian Operators被引量：1: 《Acta Mathematica Sinica,English Series》2018年第9期1473-1484,共12页Lin LI Alatancang CHEN De Yu WU; Supported by NNSF of China(Grant Nos.11761029 and 11561048);NSF of Inner Mongolia(Grant No.2015MS0116);Natural Science Foundation of Hetao College(Grant No.HYZY201702); Symplectic self-adjointness of infinite dimensional Hamiltonian operators is studied, the necessary and sufficient conditions are given. Using the relatively bounded perturbation, the sufficient conditions about sympl...; 关键词：Hamiltonian operator symplectic self-adjointness quadratic complement relative bound

On the Fourth Power Mean of the Generalized Quadratic Gauss Sums: 《Acta Mathematica Sinica,English Series》2018年第6期1037-1049,共13页Wen Peng ZHANG Xin LIN; Supported by the NSF of China(Grant No.11771351); The main purpose of this paper is to use elementary methods and properties of the classical Gauss sums to study the computational problem of one kind of fourth power mean of the generalized quadratic Gauss sums mod q ...; 关键词：The generalized quadratic Gauss sums the fourth power mean analytic method computational formula

Iwasawa Theory of Quadratic Twists of X0（49）: 《Acta Mathematica Sinica,English Series》2018年第1期19-28,共10页Junhwa CHOI John COATES; The field K ---- Q（x/-AT） is the only imaginary quadratic field with class number 1, in which the prime 2 splits, and we fix one of the primes p of K lying above 2. The modular elliptic curve X0 （49） has complex m...; 关键词：Birch-Swinnerton-Dyer conjecture elliptic curves Iwasawa theory

Enumeration of Cubic Cayley Graphs on Dihedral Groups被引量：2: 《Acta Mathematica Sinica,English Series》2017年第7期996-1010,共15页Xue Yi HUANG Qiong Xiang HUANG Lu LU; Supported by National Natural Science Foundation of China(Grant Nos.11671344 and 11531011); Let p be an odd prime, and D2p = （a,b I aP = b2 = l,bab= a 1） the dihedral group of order 2p. In this paper, we completely classify the cubic Cayley graphs on D2p up to isomorphism by means of spectral method. By th...; 关键词：Cayley graph dihedral group cospectral isomorphic classes quadratic reciprocity

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