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DIVISORS: 作品数：18被引量：6H指数：1; 导出分析报告; 相关领域：理学更多>>; 相关机构：南京师范大学更多>>; 相关期刊：《Chinese Annals of Mathematics,Series B》《Science Bulletin》《Communications in Mathematics and Statistics》《Science China(Information Sciences)》更多>>; 相关基金：国家自然科学基金更多>>

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期刊=Advances in Pure Mathematics

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Consequences of Invariant Functions for the Riemann Hypothesis: 《Advances in Pure Mathematics》2025年第1期36-72,共37页Michael Mark Anthony; This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific...; 关键词：LambertW Function Principal Branch Riemann Hypothesis ITERATIONS Robin Inequality Robin Integers INVARIANCE Gauss Gamma Function Li-Function Prime Counting Function Sums of Divisors INVARIANCE PRIMES Twin Primes

New Asymptotic Results on Fermat-Wiles Theorem: 《Advances in Pure Mathematics》2024年第6期421-441,共21页Kimou Kouadio Prosper Kouakou Kouassi Vincent Tanoé François; We analyse the Diophantine equation of Fermat xp yp = zp with p > 2 a prime, x, y, z positive nonzero integers. We consider the hypothetical solution (a, b, c) of previous equation. We use Fermat main divisors, Diopha...; 关键词：Fermat’s Last Theorem Fermat-Wiles Theorem Kimou’s Divisors Diophantine Quotient Diophantine Remainders Balzano Weierstrass Analysis Theorem

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

Fermat and Pythagoras Divisors for a New Explicit Proof of Fermat’s Theorem:a<sup>4</sup> + b<sup>4</sup> = c<sup>4</sup>. Part I: 《Advances in Pure Mathematics》2024年第4期303-319,共17页Prosper Kouadio Kimou François Emmanuel Tanoé Kouassi Vincent Kouakou; In this paper we prove in a new way, the well known result, that Fermat’s equation a⁴ + b⁴ = c⁴, is not solvable in ℕ , when abc≠0 . To show this result, it suffices to prove that: (...; 关键词：Factorisation in ℤ Greatest Common Divisor Pythagoras Equation Pythagorician Triplets Fermat's Equations Pythagorician Divisors Fermat's Divisors Diophantine Equations of Degree 2 4-Integral Closure of ℤ in ℚ

Pythagorician Divisors and Applications to Some Diophantine Equations: 《Advances in Pure Mathematics》2023年第2期35-70,共36页François Emmanuel Tanoé Prosper Kouadio Kimou; We consider the Pythagoras equation X² +Y² = Z², and for any solution of the type (a,b = 2^sb₁≠0,c) ∈ N^*3, s ≥ 2, b₁odd, (a,b,c) ≡ (±1,...; 关键词：Pythagoras Equation Pythagorician Triplets Diophantine Equations of Degree 2 Factorisation-Gcd-Fermat’s Equations

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