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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>>

Manin’s conjecture for a class of singular cubic hypersurfaces被引量：1: 《Frontiers of Mathematics in China》2022年第6期1089-1132,共44页Wenguang ZHAI; supported by the National Natural Science Foundation of China(Grant No.11971476).; Letℓ≥2 be a fixed positive integer and Q(y)be a positive definite quadratic form inℓvariables with integral coefficients.The aim of this paper is to count rational points of bounded height on the cubic hypersurface d...; 关键词：Manin’s conjecture quadratic form asymptotic formula divisor problem exponential sum

Some unsolvable conjectures in finite p-groups被引量：1: 《Frontiers of Mathematics in China》2022年第1期1-22,共22页Qinhai ZHANG; supported by the National Natural Science Foundation of China(Grant Nos.11771258&11971280).; We survey some unsolvable conjectures in finite p-groups and their research progress.; 关键词：Finite p-groups Hua-Tuan’s conjecture Higman’s conjecture Oliver’s conjecture Wiegold’s conjecture

Majid conjecture: quantum Kac-Moody algebras version被引量：1: 《Frontiers of Mathematics in China》2021年第3期727-747,共21页Hongmei HU Naihong HU Limeng XIA; This work was supported in part by the National Natural Science Foundation of China(Grant Nos.11801394,11771142,11871249);and the Science and Technology Commission of Shanghai Municipality(No.18dz2271000).; Based on the n-fold tensor product version of the generalized double-bosonization construction,we prove the Majid conjecture of the quantum Kac-Moody algebras version.Particularly,we give explicitly the double-bosoniz...; 关键词：Double-bosonization quantum Kac-Moody algebras R-MATRIX

Large sieve inequality with sparse sets of moduli applied to Goldbach conjecture: 《Frontiers of Mathematics in China》2017年第2期261-280,共20页Claus BAUER; We use the large sieve inequality with sparse sets of moduli to prove a new estimate for exponential sums over primes. Subsequently, we apply this estimate to establish new results on the binary Goldbach problem where...; 关键词：Three primes theorem exponential sums over primes sparse set ofmodules

Positive curvature, symmetry, and topology: 《Frontiers of Mathematics in China》2016年第5期1099-1122,共24页Manuel AMANN; We depict recent developments in the field of positive sectional curvature, mainly, but not exclusively, under the assumption of isometric torus actions. After an elaborate introduction to the field, we shall discuss ...; 关键词：Positive sectional curvature torus actions Euler characteristic Hopf conjecture index theory Wilhelm conjecture geometric formality

Recent development of Faith conjecture: 《Frontiers of Mathematics in China》2016年第4期933-947,共15页Kazutoshi KOIKE Kiyoichi OSHIRO; Is a semiprimary right self-injective ring a quasi-Frobenius ring？ Almost half century has passed since Faith raised this problem. He first conjectured “No” in his book Algebra II. Ring Theory in 1976, but changing...; 关键词：Semiprimary right self-injective ring Faith conjecture division algebra D （D D）-space ErdSs-Kaplansky＇s theorem quasi-Frobenius ring Nakayama permutation

Derived equivalences and Cohen-Macaulay Auslander algebras被引量：1: 《Frontiers of Mathematics in China》2015年第2期323-338,共16页Shengyong PAN Xiaojin ZHANG; Acknowledgements S.Y. Pan was supported by the National Natural Science Foundation of China （Grant No. 11201022）, the Fundamental Research Funds for the Central Universities （2013JBM096, 2013RC027）, and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, Ministry of Education. This revision of the first draft was done when S. Y. Pan was a postdoctor of Bishop＇s University, he would like to thank Professor Thomas Briistle for his warm hospitality. X. J. Zhang was supported by National Natural Science Foundation of China （Grant No. 11101217）.; Let A and B be Artin R-algebras of finite Cohen-Macaulay type. Then we prove that, if A and B are standard derived equivalent, then their Cohen-Macaulay Auslander algebras are also derived equivalent. And we show that...; 关键词：Standard derived equivalence Gorenstein projective conjecture Cohen-Macaulay Auslander algebra

Thompson＇s conjecture for alternating group of degree 22被引量：2: 《Frontiers of Mathematics in China》2013年第5期1227-1236,共10页Mingchun XU; For a finite group G, it is denoted by N（G） the set of conjugacy class sizes of G. In 1980s, J. G. Thompson posed the following conjecture： if L is a finite nonabelian simple group, G is a finite group with trivial...; 关键词：Finite group conjugacy class size simple group prime graph of a group

List edge and list total coloring of 1-planar graphs被引量：6: 《Frontiers of Mathematics in China》2012年第5期1005-1018,共14页Xin ZHANG Jianliang WU Guizhen LIU; A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. In this paper, it is proved that each 1-planar graph with maximum degree △ is （A ＋ 1）-edge-choosable and...; 关键词：1-planar graph list coloring conjecture DISCHARGING

Theta-lifting and geometric quantization for GL（n, C）: 《Frontiers of Mathematics in China》2012年第4期785-793,共9页Mingjing ZHANG; The author would like to thank Professor Jing-Song Huang and Professor Fu-Hai Zhu for very helpful suggestion. This work was supported in part by the National Natural Science Foundation of China （Grant No. 10971103）.; In this paper, we verify Vogan＇s conjecture on quantization in the representation theory for G = GL（n, C）. Also we get some relationship between the induction of orbits and Howe＇s θ-lifting of unitary representat...; 关键词：Vogan＇s conjecture on quantization induced orbits unitary representations theta-lifting

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