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INTEGERS: 作品数：168被引量：71H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：冯衍全展涛孙智伟杨思熳更多>>; 相关机构：北方交通大学山东大学南京大学更多>>; 相关期刊：《Algebra Colloquium》《Journal of Donghua University(English Edition)》《黄山学院学报》《Chinese Physics Letters》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广东省自然科学基金中国博士后科学基金更多>>

Some Topological Indices of Nil-clean Graphs of Z_(n): 《数学理论与应用》2025年第1期107-114,共8页SU Huadong LIANG Zhunti; supported by the National Natural Science Foundation of China(Nos.12261001,12461001);the Research Foundation Ability Enhancement Project for Young and Middle aged Teachers in Guangxi Universities(No.025KY0477)。; In this paper,we determine the Sombor index and some other vertex-degree-based topological indices for the nil-clean graphs of Z_(n),the ring of integers modulo n.; 关键词：Nil-clean graph Ring of integers modulo n Sombor index

Quantum attack on RSA by D-Wave Advantage:a first break of 80-bit RSA: 《Science China(Information Sciences)》2025年第2期393-394,共2页Chunlei HONG Zhi PEI Qidi WANG Shuxiao YANG Jingjing YU Chao WANG; sponsored by CAAI-Huawei MindSpore Open Fund。; RSA[1],a cryptographic system essential for securing network communications,relies on the difficulty of factorizing an integer into two primes(factorizing an integer N=P×Q,where P and Q are prime numbers).In theory,q...; 关键词：QUANTUM INTEGER INTEGERS

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

Shor’s algorithm does not factor large integers in the presence of noise: 《Science China(Information Sciences)》2024年第7期301-316,共16页Jin-Yi CAI; We consider Shor’s quantum factoring algorithm in the setting of noisy quantum gates.Under a generic model of random noise for(controlled)rotation gates,we prove that the algorithm does not factor integers of the for...; 关键词：random noise Shor’s algorithm rotation gates quantum computing prime factorization

On the Number of Primes in the Interval (x, 2x) by an Elementary Method: 《Advances in Pure Mathematics》2024年第1期16-29,共14页Sudhindra B. Kittur; An elementary formula to know the number of primes in the interval (x, 2x) close to the exact figure for a fixed x is given here. A new elementary equation is derived (a relation between prime numbers and composite nu...; 关键词：Prime Numbers Composite Numbers EXPRESSION INTEGERS

Preliminary Identification of a Prime Number Other Than 2 and 3, the Origin of Twin Prime Numbers, the Structure of the Chain of Prime Numbers and the Set of Prime Numbers Less Than a Given Integer: 《Advances in Pure Mathematics》2024年第1期30-48,共19页Mady Ndiaye; The application of the Euclidean division theorem for the positive integers allowed us to establish a set which contains all the prime numbers and this set we called it set of supposedly prime numbers and we noted it ...; 关键词：Supposedly Prime Numbers Non-Prime Numbers Prime Numbers Prime Numbers Less Than a Given Integer Prime Numbers between Two Given Integers

Nonlinear Components of a Block Cipher over Eisenstein Integers: 《Computers, Materials & Continua》2023年第12期3659-3675,共17页Mohammad Mazyad Hazzazi Muhammad Sajjad Zaid Bassfar Tariq Shah Ashwag Albakri; extend their appreciation to the Deanship of Scientific Research at King Khalid University,for funding this work through the General Research Groups Program under Grant No.R.G.P.2/109/43.; In block ciphers,the nonlinear components,also known as substitution boxes(S-boxes),are used with the purpose to induce confusion in cryptosystems.For the last decade,most of the work on designing S-boxes over the poi...; 关键词：Eisenstein integers residue class of Eisenstein integers block cipher S-boxes analysis of S-boxes

Designing Pair of Nonlinear Components of a Block Cipher over Gaussian Integers被引量：1: 《Computers, Materials & Continua》2023年第6期5287-5305,共19页Muhammad Sajjad Tariq Shah Robinson Julian Serna; In block ciphers,the nonlinear components,also known as sub-stitution boxes(S-boxes),are used with the purpose of inducing confusion in cryptosystems.For the last decade,most of the work on designing S-boxes over the ...; 关键词：Gaussian integers residue class of gaussian integers block cipher S-boxes analysis of S-boxes

Some Implications of the Gessel Identity: 《Applied Mathematics》2023年第9期545-579,共35页Claire Levaillant; We generalize the congruences of Friedmann-Tamarkine (1909), Lehmer (1938), and Ernvall-Metsänkyla (1991) on the sums of powers of integers weighted by powers of the Fermat quotients to the next Fermat quotient power,...; 关键词：Convolutions Involving Bernoulli Numbers Truncated Convolutions Involving Bernoulli Numbers CONGRUENCES Binomial and Multinomial Convolutions of Divided Bernoulli Numbers Multiple Harmonic Sums Generalized Harmonic Numbers Miki Identity Gessel Identity Sums of Powers of Integers Weighted by Powers of the Fermat Quotients Generalization of Kummer’s Congruences Generalizations of Friedmann-Tamarkine Lehmer Ernvall-Metsänkyla’s Congruences p-Adic Numbers Weighted Sums of Powers of Integers

本刊英文版Vol.38(2022),No.12论文摘要: 《数学学报（中文版）》2023年第1期I0004-I0006,共3页; In our earlier paper,we generalize the one-parameter(c)family of inhomoge-neous first-order differential operator representations of the orthogonal Lie algebras arising from conformal transformations to those of ortho...; 关键词：INTEGER IRREDUCIBLE INTEGERS

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