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POLYNOMIALS: 作品数：369被引量：237H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：申大维韩伯棠刘吉善陈广荣尤肖虎更多>>; 相关机构：北京理工大学北京师范大学四川大学大连海洋大学更多>>; 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中国博士后科学基金国家高技术研究发展计划更多>>

The Hybrid Power Mean Involving the Character Sum of Polynomials and a Sum Analogous to Kloosterman Sum: 《数学进展》2024年第6期1199-1209,共11页LU Xingxing ZHANG Wenpeng; Supported by NSFC(No.12126357);Natural Science Basic Research Plan in Shaanxi Province of China(No.2023-JC-QN-0058)。; The main purpose of this paper is using the properties of the classical Gauss sum and the analytic methods to study the computational problem of one kind of hybrid power mean involving the character sum of polynomials...; 关键词：character sum of polynomials a sum analogous to Kloosterman sum hybrid power mean the classical Gauss sum analytic method asymptotic formula

The Coercive Property and a Priori Error Estimation of the Finite Element Method for Linearly Distributed Time Order Fractional Telegraph Equation with Restricted Initial Conditions: 《American Journal of Computational Mathematics》2024年第4期381-390,共10页Ebimene James Mamadu Henrietta Ify Ojarikre Daniel Chinedu Iweobodo Ebikonbo-Owei Anthony Mamadu Jonathan Tsetimi Ignatius Nkonyeasua Njoseh; Finite Element Method (FEM), when applied to solve problems, has faced some challenges over the years, such as time consumption and the complexity of assumptions. In particular, the making of assumptions has had a sig...; 关键词：COERCIVITY Finite Element Method Mamadu-Njoseh Polynomials A Priori Error Estimation Cauchy-Schwarz Inequality Mean Value Theorem

An Extended Numerical Method by Stancu Polynomials for Solution of Integro-Differential Equations Arising in Oscillating Magnetic Fields: 《Advances in Pure Mathematics》2024年第10期785-796,共12页Neşe İşler Acar; In this study, the Bernstein collocation method has been expanded to Stancu collocation method for numerical solution of the charged particle motion for certain configurations of oscillating magnetic fields modelled b...; 关键词：Stancu Polynomials Collocation Method Integro-Differential Equations Linear Equation Systems Matrix Equations

Partial-dual Euler-genus polynomials for two classes of bouquets: 《Frontiers of Mathematics in China》2024年第5期299-315,共17页Kefu ZHU Qi YAN; [European J.Combin.,2020,86:Paper No.103084,20 pp.]introduced the concept of partial-dual Euler-genus polynomial in the ribbon graphs and gave the interpolation conjecture.That is,the partial-dual Euler-genus polynomi...; 关键词：Ribbon graph partial-dual GENUS polynomial interpolating

Solving Some Problems and Elimination in Systems of Polynomial Equations: 《American Journal of Computational Mathematics》2024年第3期333-345,共13页Moumouni Djassibo Woba; In a factorial ring, we can define the p.g.c.d. of two elements (defined to the nearest unit) and the notion of prime elements between them. More generally, Bezout’s identity characterizes two prime elements in a mai...; 关键词：Identity of Bezout Ring of Bezout IDEALS POLYNOMIALS COMMON

Rank-generating functions and Poincaré polynomials of lattices in finite orthogonal space of even characteristic: 《Frontiers of Mathematics in China》2024年第4期181-189,共9页Feng XU Yanbing ZHAO Yuanji HUO; The geometry of classical groups over finite fields is widely used in many fields.In this paper,we study the rank-generating function,the characteristic polynomial,and the Poincarépolynomial of lattices generated by ...; 关键词：LATTICES orthogonal space of even characteristic rank-generating function characteristic polynomial Poincarépolynomial

Invariant measure for cubic Fibonacci-like polynomials: 《中国科学技术大学学报》2024年第8期7-12,6,I0002,共8页Wenxiu Ma; A special class of cubic polynomials possessing decay of geometry property is studied.This class of cubic bimodal maps has generalized Fibonacci combinatorics.For maps with bounded combinatorics,we show that they have...; 关键词：Fibonacci combinatorics cubic polynomial decay of geometry invariant measure

On the Zeros of a Special Class of Polynomials: 《Journal of Mathematical Research with Applications》2024年第4期470-474,共5页Mahnaz Shafi CHISHTI Vipin Kumar TYAGI Mohammad Ibrahim MIR; Let P be a complex polynomial of the form P (z)=(λz-a)mΠj=1n-m(z-zj),where|zj|≥1,1≤j≤n-m.The aim of this paper is to obtain generalisation of a result due to Zargar and Manzoor and a result due to Mir,Nazir and W...; 关键词：BOUND COEFFICIENT POLYNOMIAL ZEROS

Parametric“non-nested”discriminants for multiplicities of univariate polynomials: 《Science China Mathematics》2024年第8期1911-1932,共22页Hoon Hong Jing Yang; supported by U.S.National Science Foundations(Grant Nos.2212461 and 1813340);supported by National Natural Science Foundation of China(Grant Nos.12261010 and 11801101)。; We consider the problem of complex root classification,i.e.,finding the conditions on the coefficients of a univariate polynomial for all possible multiplicity structures on its complex roots.It is well known that suc...; 关键词：parametric polynomial complex roots DISCRIMINANT MULTIPLICITY RESULTANT

Partially-hiding functional encryption for degree-2 polynomials with fine-grained access control: 《Frontiers of Computer Science》2024年第3期231-233,共3页Haifeng QIAN Cheng LIN Qiaohan CHU Jie CHEN; supported by the National Natural Science Foundation of China(61972156,62372180);the NSFC-ISF Joint Scientific Research Program(61961146004);the Innovation Program of Shanghai Municipal Education Commission(2021-01-07-00-08-E00101);the“Digital Silk Road”Shanghai International Joint Lab of Trustworthy Intelligent Software(22510750100).; 1 Introduction Boneh et al.[1]first systematically introduce the concept of Functional Encryption(FE)which overcomes all-or-nothing limitation of traditional public key encryption.However,FE hides a potential problem:...; 关键词：GRAIN ENCRYPTION ENCRYPTION

POLYNOMIALS