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CONJECTURE: 作品数：486被引量：295H指数：8; 导出分析报告; 相关领域：理学更多>>; 相关作者：韩国平刘建熙邱青刘瑞元李逸更多>>; 相关机构：华南师范大学大连理工大学浙江大学山东大学更多>>; 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北京市自然科学基金国家教育部博士点基金更多>>

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

A Contribution to Guy's Conjecture: 《Acta Mathematica Sinica,English Series》2022年第10期1856-1886,共31页Yukio MATSUMOTO Yoshikazu MATSUTANI Angel MONTESINOS-AMILIBIA Masami ODA Shuichi OHKI Tsuyoshi SAKAI; supported by JSPS Grant KAKENHI 17H01091。; Let Kdenote the complete graph consisting of n vertices,every pair of which forms an edge.We want to know the least possible number of the intersections,when we draw the graph Kon the plane or on the sphere using cont...; 关键词：Complete graph virginal drawing Guy’s conjecture

On the Integrability of Strictly Convex Billiard Tables with Boundaries Close to Ellipses with Small Eccentricities: 《Acta Mathematica Sinica,English Series》2022年第1期55-67,共13页Guan HUANG; Supported by NSFC(Significant Pro ject No.11790273)in China。; In this paper,we introduce a new notion of integrability for billiard tables,namely,integrability away from the boundary.One key feature of our notion is that the integrable region could be disjoint from the boundary ...; 关键词：Birkhoff conjecture Billiard tables INTEGRABILITY

On a Conjecture of Bahri–Xu: 《Acta Mathematica Sinica,English Series》2021年第11期1721-1742,共22页Hong CHEN Jian Quan GE Kai JIA Zhi Qin LU; partially supported by Beijing Natural Science Foundation(Grant No.Z190003);partially supported by National Sciences Foundation of USA(Grant No.DMS-19-08513)。; In order to study the Yamabe changing-sign problem,Bahri and Xu proposed a conjecture which is a universal inequality for p points in R^(m).They have verified the conjecture for p≤3.In this paper,we first simplify th...; 关键词：Yamabe PROBLEM Bahri-Xu CONJECTURE

Equitable Vertex Arboricity Conjecture Holds for Graphs with Low Degeneracy: 《Acta Mathematica Sinica,English Series》2021年第8期1293-1302,共10页Xin ZHANG Bei NIU Yan LI Bi LI; Supported by National Natural Science Foundation of China(Grant Nos.11871055,11701440)。; The equitable tree-coloring can formulate a structure decomposition problem on the communication network with some security considerations.Namely,an equitable tree-Zc-coloring of a graph is a vertex coloring using k d...; 关键词：Equitable coloring tree-coloring vertex arboricity DEGENERACY

Hunt’s Hypothesis(H) for Markov Processes: Survey and Beyond: 《Acta Mathematica Sinica,English Series》2021年第3期491-508,共18页Ze Chun HU Wei SUN; Supported by National Natural Science Foundation of China(Grant Nos.11771309 and 11871184);Natural Sciences and Engineering Research Council of Canada(Grant No.4394-2018)。; The goal of this paper is threefold. First, we survey the existing results on Hunt’s hypothesis(H) for Markov processes and Getoor’s conjecture for Lévy processes. Second, we investigate(H)for multidimensional Lév...; 关键词：Hunt’s hypothesis(H) Getoor’s conjecture Markov process Lévy process

Heegner Point Kolyvagin System and Iwasawa Main Conjecture: 《Acta Mathematica Sinica,English Series》2021年第1期104-120,共17页Xin WAN; the Chinese Academy of Science(Grant No.Y729025EE1);NSFC(Grant Nos.11688101,11621061);an NSFC grant associated to the recruitment Program of Global Experts。; We prove an anticyclotomic Iwasawa main conjecture proposed by Perrin-Riou for Heegner points for semi-stable elliptic curves E over a quadratic imaginary field K satisfying a certain generalized Heegner hypothesis,at...; 关键词：Iwasawa theory Heegner Kolyvagin

Mapping of Least ρ-Dirichlet Energy between Doubly Connected Riemann Surfaces: 《Acta Mathematica Sinica,English Series》2020年第6期663-672,共10页Li ZHANG Sheng Jin HUO Hui GUO Xiao Gao FENG; Supported by the National Natural Science Foundation of China(Grant No.11701459);the Natural Science Foundation of Sichuan Provincial Department of Education(Grant No.17ZB0431);the Research Startup of China West Normal University(Grant No.17E88);supported by the Science and Technology Development Fund of Tianjin Commission for Higher Education(Grant No.2017KJ095)。; In this note,we consider the mappings h:X→Y between doubly connected Riemann surfaces having leastρ-Dirichlet energy.For a pair of doubly connected Riemann surfaces,in which X has finite conformal modulus,we establi...; 关键词：ρ-Dirichlet energy Hopf-differential ρ-harmonic mapping ρ-Nitsche conjecture

Weight Choosability of Graphs with Maximum Degree 4: 《Acta Mathematica Sinica,English Series》2020年第6期723-732,共10页You LU Chong LI Zheng Ke MIAO; Supported by National Natural Science Foundation of China(Grant Nos.11871397 and 11971205);the Natural Science Basic Research Plan in Shaanxi Province of China(Grant No.2020JM-083);the Fundamental Research Funds for the Central Universities(Grant No.3102019ghjd003)。; Let k be a positive integer.A graph G is k-weight choosable if,for any assignment L(e)of k real numbers to each e∈E(G),there is a mapping f:E(G)→R such that f(uv)∈L(uv)and∑e∈∂(u)^f(e)≠∑e∈∂(u)^f(e)for each uv∈...; 关键词：1-2-3 conjecture weighting weight choosability Combinatorial Nullstellensatz

Sarnak’s Conjecture for Irregular Flows on Infinite-dimensional Torus被引量：1: 《Acta Mathematica Sinica,English Series》2019年第9期1541-1548,共8页Qing Yang LIU; Sarnak’s Disjointness Conjecture states that the Mobius function is disjoint with any zeroentropy flow. This note establishes this conjecture, with a rate, for Furstenberg’s irregular flows on the infinite-dimension...; 关键词：Sarnak's disjointness conjecture Mobius function irregular flow skew product infinitedimensional torus

CONJECTURE