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CONJECTURES: 作品数：44被引量：24H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：李阋更多>>; 相关机构：电子科技大学更多>>; 相关期刊：《Science China(Physics,Mechanics & Astronomy)》《Journal of Mathematical Research with Applications》《Science China Mathematics》《Communications in Theoretical Physics》更多>>; 相关基金：国家自然科学基金美国国家科学基金国家教育部博士点基金国家重点基础研究发展计划更多>>

A Comparative Analysis of the New -3(-n) - 1 Remer Conjecture and a Proof of the 3n + 1 Collatz Conjecture: 《Journal of Applied Mathematics and Physics》2023年第8期2216-2220,共5页Mike Remer; This scientific paper is a comparative analysis of two mathematical conjectures. The newly proposed -3(-n) - 1 Remer conjecture and how it is related to and a proof of the more well known 3n + 1 Collatz conjecture. An...; 关键词：-3(-n) - 1 Remer Conjecture 3n + 1 Collatz Conjecture Comparative Analysis PROOF Natural Numbers Integer Sequences Factorial Processes Par-tial Differential Equations Bounded Values Collatz Conjecture Collatz Algo-rithm Collatz Operator Collatz Compliance And Mathematical Conjectures

The Proofs of Legendre’s Conjecture and Three Related Conjectures: 《Journal of Applied Mathematics and Physics》2023年第5期1319-1336,共18页Wing K. Yu; In this paper, we prove Legendre’s conjecture: There is a prime number between n² and (n +1)² for every positive integer n. We also prove three related conjectures. The method that we use is to ...; 关键词：Legendre’s Conjecture Bertrand’s Postulate - Chebyshev’s Theorem Oppermann’s Conjecture Brocard’s Conjecture Andrica’s Conjecture

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

A refined trans-Planckian censorship conjecture: 《Science China(Physics,Mechanics & Astronomy)》2021年第1期33-40,共8页Rong-Gen Cai Shao-Jiang Wang; supported by the National Natural Science Foundation of China(Grant Nos.11435006,11647601,11690022,11821505,and 11851302);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDB23030100);the Key Research Program of Frontier Sciences of Chinese Academy of Sciences;supported by the postdoctoral scholarship of Tufts University from National Science Foundation。; We propose a refined version of trans-Planckian censorship conjecture(TCC), which could be elaborated from the strong scalar weak gravity conjecture combined with some entropy bounds. In particular, no fine-tuning on ...; 关键词：INFLATION swampland conjectures weak gravity conjecture

Excellent Extensions and Homological Conjectures被引量：1: 《Algebra Colloquium》2018年第4期619-626,共8页Yingying Zhang; In this paper,we introduce the notion of excellent extensions of rings.Let F be an excellent extension of an Artin algebra∧,we prove that∧satisfies the Gorenstein symmetry conjecture(resp.,finitistic dimension conje...; 关键词：EXCELLENT EXTENSION SKEW group ALGEBRA homological CONJECTURE

A Comparison of Sufficiency Condtions for the Goldbach and the Twin Primes Conjectures: 《Advances in Pure Mathematics》2014年第5期157-170,共14页C. J. Mozzochi; It is generally known that under the generalized Riemann hypothesis one could establish the twin primes conjecture by the circle method, provided one could obtain the estimate o (nlog-2 n)?for the integral of the repr...; 关键词：GOLDBACH CONJECTURE Twin PRIMES CONJECTURE Circle Method Generalized RIEMANN Hypothesis

Remarks on Hard Lefschetz conjectures on Chow groups Dedicated in celebration of SCIENCE CHINA on the occasion of its 60th birthday: 《Science China Mathematics》2010年第1期105-114,共10页FU BaoHua Institute of Mathematics, Academy of Mathematic and Systems Science, Chinese Academy of Sciences, Beijing 100190, China; We propose two conjectures of Hard Lefschetz type on Chow groups and prove them for some special cases. For abelian varieties, we show that they are equivalent to the well-known conjectures of Beauville and Murre.; 关键词：Chow groups ABELIAN varieties Bloch-Beilinson CONJECTURES Beauville CONJECTURE Murre CONJECTURE

On the Four Conjectures of G G Lorentz Type in L_ρ~2[-a,a]: 《Chinese Quarterly Journal of Mathematics》2009年第3期343-348,共6页王元恒杨文善; Supported by the NNSF of China(10771141); In the space C[-1,1],G G Lorentz proposed four conjectures on the properties of the polynomials of the best approximation in 1977,1978 and 1980.The present paper transplants the four conjectures in the space Lρ2[-a,a...; 关键词：best approximation Lorentz＇s conjecture different norms property of polynomial

ON A PROBLEM RELATED TO GOLOMB'S CONJECTURES被引量：2: 《Journal of Systems Science & Complexity》2003年第1期13-18,共页; This research is supported by the National Natural Science Foundation and P.N.S.F.of China.; The main purpose of this paper is to study a problem related to Golomb’s conjectures, and give an interesting asymptotic formula.; 关键词：PRIMITIVE ROOTS golomb’s CONJECTURE ASYMPTOTIC formula.

ON A PROBLEM RELATED TO GOLOMB'S CONJECTURES被引量：3: 《Journal of Systems Science & Complexity》2003年第1期13-18,共6页ZHANG Wenpeng(Research Center for Basic Science, Xi’an Jiaotong University, Xi’an 710049, China); This research is supported by the National Natural Science Foundation and P.N.S.F.of China.; The main purpose of this paper is to study a problem related to Golomb's conjectures,and give an interesting asymptotic formula.; 关键词：Primitive roots golomb's conjecture asymptotic formula.

CONJECTURES