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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>>

Proofs of Some Conjectures of Andrews and Paule on 2-Elongated Plane Partitions: 《Journal of Mathematical Research with Applications》2024年第6期735-740,共6页Olivia X.M.YAO; Supported by the National Natural Science Foundation of China(Grant No.12371334);the Natural Science Foundation of Jiangsu Province(Grant No.BK20221383)。; Recently,Andrews and Paule established the generating functions for the k-elongated plane partition function d_(k)(n)and proved a large number of results on d_(k)(n)with k=2,3.In particular,they posed some conjectures...; 关键词：PARTITIONS CONGRUENCES 2-elongated plane partitions theta function identities

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

Some Conjectures on the Divisor Function: 《Journal of Mathematics and System Science》2020年第2期13-22,共10页Masatoshi Nakano; We propose the following conjecture on(σ)n the sum-of-divisors function:log(e'nlog logn-σ(n))/log(e'nlog log n)will increase strictly and converge to1 when n runs from the colossally abundant numbers to infinity Thi...; 关键词：Riemann hypothesis Robin’s theorem colossally abundant number divisor function.

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

Minuscule representations and Panyushev conjectures Dedicated to the Memory of Professor Bertram Kostant: 《Science China Mathematics》2018年第10期1759-1774,共16页Chaoping Dong Guobiao Weng; supported by National Natural Science Foundation of China(Grant No.11571097); Recently, Panyushev(2015) raised five conjectures concerning the structure of certain root posets arising from Z-gradings of simple Lie algebras. This paper aims to provide proofs for four of them. Our study also link...; 关键词：minuscule poser M-polynomial X-polynomial Z-gradings of Lie algebra

Fekete and Szeg problem in one and higher dimensions被引量：4: 《Science China Mathematics》2018年第10期1775-1788,共14页Qinghua Xu Taishun Liu Xiaosong Liu; supported by National Natural Science Foundation of China(Grant Nos.11561030,11261022 and 11471111);the Jiangxi Provincial Natural Science Foundation of China(Grant Nos.20152ACB20002 and 20161BAB201019);Natural Science Foundation of Department of Education of Jiangxi Province of China(Grant No.GJJ150301); In this paper, we establish the Fekete and Szego inequality for a class of holomorphic functions in the unit disk, and then we extend this result to a class of holomorphic mappings on the unit ball in a complex Banach...; 关键词：Fekete and Szego problem Bieberbach conjectures in several complex variables subclasses ofstarlike mappings sharp coefficient bound

Some conjectures on modular representations of affine sl_2 and Virasoro algebra被引量：2: 《Science China Mathematics》2018年第2期385-390,共6页Weiqiang Wang; supported by the National Science Foundation of USA(Grant No. DMS1405131); We conjecture an explicit bound on the prime characteristic of a field, under which the Weyl modules of affine sl_2 and the minimal series modules of Virasoro algebra remain irreducible, and Goddard-Kent-Olive coset c...; 关键词：Virasoro algebra affine algebras module representation

ON GROWTH OF MEROMORPHIC SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS AND TWO CONJECTURES OF C.C. YANG: 《Acta Mathematica Scientia》2016年第1期195-202,共8页张月阳高宗升张继龙; supported by the NNSF of China(11171013,11371225,11201014);the YWF-14-SXXY-008 of Beihang University;the Fundamental Research Funds for the Central University; In this paper, we investigate the growth of the meromorphic solutions of the following nonlinear difference equations F（Z）N＋pN-1（F）=0,where n ≥ 2 and small functions as proposed by Yang than 1. Pn-1（f） is a di...; 关键词：GROWTH meromorphic solutions difference equations CONJECTURES

CONJECTURES