云南高校图书馆联盟文献共享服务平台- CONJECTURE

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>>

The SYZ Conjecture through Computational Equivalence: 《Advances in Pure Mathematics》2025年第2期145-181,共37页Logan Nye; We present a proof of the Strominger-Yau-Zaslow (SYZ) conjecture by demonstrating that mirror symmetry fundamentally represents an equivalence of computational structures between Calabi-Yau manifolds. Through developm...; 关键词：Mirror Symmetry Calabi-Yau Manifolds SYZ Conjecture Quantum Complexity Special Lagrangian Fibration

How to Prove Riemann Conjecture by Riemann’s Four Theorems: 《Advances in Pure Mathematics》2024年第8期619-632,共15页Chuanmiao Chen; Riemann (1859) had proved four theorems: analytic continuation ζ(s), functional equation ξ(z)=G(s)ζ(s)(s=1/2+iz, z=t−i(σ−1/2)), product expression ξ1(z)and Riemann-Siegel formula Z(z), and proposed Riemann conjec...; 关键词：Riemann Conjecture ZETA-FUNCTION Xi-Function Functional Equation Product Expression CONTRADICTION

A New Proof for Congruent Number’s Problem via Pythagorician Divisors: 《Advances in Pure Mathematics》2024年第4期283-302,共20页Léopold Dèkpassi Keuméan François Emmanuel Tanoé; Considering Pythagorician divisors theory which leads to a new parameterization, for Pythagorician triplets ( a,b,c )∈ ℕ 3∗ , we give a new proof of the well-known problem of these particular squareless numbers n∈ ℕ...; 关键词：Prime Numbers-Diophantine Equations of Degree 2 & 4 Factorization Greater Common Divisor Pythagoras Equation Pythagorician Triplets Congruent Numbers Inductive Demonstration Method Infinite Descent BSD Conjecture

Proof of Riemann Conjecture Based on Contradiction between Xi-Function and Its Product Expression: 《Advances in Pure Mathematics》2023年第7期463-472,共10页Chuanmiao Chen; Riemann proved three results: analytically continue ζ(s) over the whole complex plane s =σ + it with a pole s =1;(Theorem A) functional equation ξ(t) = G(s₀)ζ (s₀), s₀ =1/2 + it an...; 关键词：Riemann Conjecture Xi-Function Functional Equation Product Expression Multiplicative Group CONTRADICTION

The Integral of the Inverse of the Primes: 《Advances in Pure Mathematics》2023年第5期250-266,共17页Pal Doroszlai Horacio Keller; The present paper gives the proof of the set of primes as continuum and evaluates the analytical formula for the integral of the inverse of the primes over the distance. First it starts with the density of the primes,...; 关键词：Density of Primes Prime-Number-Formula Complete-Prime-Number-Formula Goldbach’s Conjecture Twin Primes K-Tuples of Primes Primes as Continuum

The Gaps between Primes: 《Advances in Pure Mathematics》2022年第12期757-771,共15页Pal Doroszlai Horacio Keller; The union of the straight and—of the over a point of reflection—reflected union of the series of the arithmetic progression of primes results the double density of occupation of integer positions by multiples of the...; 关键词：Twin Primes Prime Gaps Goldbach’s Conjecture

Group-Theoretic Remarks on Goldbach’s Conjecture: 《Advances in Pure Mathematics》2022年第11期624-637,共14页Liguo He Gang Zhu; The famous strongly binary Goldbach’s conjecture asserts that every even number 2n ≥ 8 can always be expressible as a sum of two distinct odd prime numbers. We use a new approach to dealing with this conjecture. Spe...; 关键词：Alternating Group Element Order Prime Graph Goldbach’s Conjecture CENTRALIZER

Proof of Riemann Conjecture被引量：1: 《Advances in Pure Mathematics》2022年第5期374-391,共18页Chuanmiao Chen; Using translation β = σ −1/2 and rotation s =σ + it = 1/2 + iz, z = t −iβ, Riemann got two results: (Theorem A) the functional equation ξ(z) = G(s)ξ(s), where , and (Theorem B) the product expression...; 关键词：Riemann Conjecture Distribution of Zeros Entire Function SYMMETRY Functional Equation Product Expression

The Deny Proof of the Palindrome Number Conjecture: 《Advances in Pure Mathematics》2022年第4期348-356,共9页Maoze Wang Zhenxiang He Meiyi Wang; Palindrome number conjecture: Take any non-palindromic natural number with two or more digits, add its inverse ordinal number, continue to use the inverted number of sum plus sum, repeat this process continuously. Aft...; 关键词：Palindrome Number Palindrome Number Conjecture Inverse Number Symmetry Pure-Single-Digit Pure-Carry-Digit Complement-0-Carry-Digit

The Symmetric Series of Multiples of Primes: 《Advances in Pure Mathematics》2022年第3期160-177,共18页Pal Doroszlai Horacio Keller; The union of the straight and over the point of reflection—reflected series of the arithmetic progression of primes results in the double density of occupation of integer positions. It is shown that the number of fre...; 关键词：Twin Primes Prime Gaps Goldbach’s Conjecture

CONJECTURE