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Miyaoka-type inequalities for terminal threefolds with nef anti-canonical divisors: 《Science China Mathematics》2025年第1期1-18,共18页Masataka Iwai Chen Jiang Haidong Liu; supported by National Natural Science Foundation of China for Innovative Research Groups(Grant No.12121001);National Key Research and Development Program of China(Grant No.2020YFA0713200);supported by Grant-in-Aid for Early Career Scientists(Grant No.22K13907)。; In this paper,we study Miyaoka-type inequalities on Chern classes of terminal projective 3-folds with nef anti-canonical divisors.Let X be a terminal projective 3-fold such that-KX is nef.We show that if c_(1)(X)·c_(...; 关键词：terminal threefolds Miyaoka-type inequality BOUNDEDNESS

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:a4 + b4 = c4. 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

Two upper bounds for the Erdos-Hooley Delta-function被引量：1: 《Science China Mathematics》2023年第12期2683-2692,共10页Regis de la Breteche Gerald Tenenbaum; For integer n≥1 and real u,let Δ(n,u):=|{d:d] n,e^(u); 关键词：concentration of divisors average order normal order Waring’s problem

On Fermat Last Theorem: The New Efficient Expression of a Hypothetical Solution as a Function of Its Fermat Divisors: 《American Journal of Computational Mathematics》2023年第1期82-90,共9页Prosper Kouadio Kimou; Denote by a non-trivial primitive solution of Fermat’s equation (p prime).We introduce, for the first time, what we call Fermat principal divisors of the triple defined as follows. , and . We show that it is possible...; 关键词：Fermat’s Last Theorem Fermat Divisors Barlow’s Relations Greatest Common Divisor

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

W-translated Schubert divisors and transversal intersections: 《Science China Mathematics》2022年第10期1997-2018,共22页DongSeon Hwang Hwayoung Lee Jae-Hyouk Lee Changzheng Li; supported by the Samsung Science and Technology Foundation(Grant No. SSTF-BA1602-03);supported by the National Research Foundation of Korea (Grant No. NRF-2019R1F1A1058962);supported by National Natural Science Foundation of China (Grant Nos. 11771455, 11822113 and 11831017);Guangdong Introducing Innovative and Enterpreneurial Teams (Grant No. 2017ZT07X355)。; We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety F?_(n1,...,nk;n) via Gelfand-Cetlin polytopes. We propose a conjecture that Schubert varieties of appropriate dimens...; 关键词：W-translated Schubert varieties transversal intersection Gelfand-Cetlin polytope toric degeneration flag varieties

Logarithmic vanishing theorems for effective q-ample divisors: 《Science China Mathematics》2019年第11期2331-2334,共4页Kefeng Liu Xueyuan Wan Xiaokui Yang; Let X be a compact K?hler manifold and D be a simple normal crossing divisor. If D is the support of some effective q-ample divisor, we show H^i(X, ?_X^j (log D)) = 0, for i + j > n + q.; 关键词：logarithmic vanishing theorems effective q-ample divisors simple normal crossing divisors compact Kahler manifolds

DIVISORS