云南高校图书馆联盟文献共享服务平台- CONGRUENCES

CONGRUENCES: 作品数：57被引量：57H指数：4; 导出分析报告; 相关领域：理学自动化与计算机技术更多>>; 相关作者：张谋成李勇华更多>>; 相关机构：中国科学技术大学中山大学华南师范大学更多>>; 相关期刊：《Communications in Mathematics and Statistics》《Journal of Mathematical Research with Applications》《Science China Mathematics》《Algebra Colloquium》更多>>; 相关基金：国家自然科学基金广东省自然科学基金国家重点基础研究发展计划中国博士后科学基金更多>>

The Kernel and Trace Approach to Congruences on Completely Regular Semirings: 《Algebra Colloquium》2024年第4期639-650,共12页Xuliang Xian Yong Shao; Natural Science Foundation of China(11971383,11801239);Shaanxi Fundamental Science Research Project for Mathematics and Physics(22JSY023).; On completely regular semirings,we give alternative characterizations for the kernel of a congruence and idempotent pure congruences.Then we give alternative characterizations for the trace of a congruence and idempot...; 关键词：SEMIRING Green's relation CONGRUENCE KERNEL trace

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

Small Modular Solutions to Fermat’s Last Theorem: 《Advances in Pure Mathematics》2024年第10期797-805,共9页Thomas Beatty; The proof by Andrew Wiles of Fermat’s Last Theorem in 1995 resolved the existence question for non-trivial solutions in integers x,y,zto the equation xn+yn=znfor n>2. There are none. Surprisingly, there are infinitel...; 关键词：Fermat’s Last Theorem Modular Arithmetic CONGRUENCES Prime Numbers Primitive Roots Indices Ramsey Theory Schur’s Lemma in Ramsey Theory

The Goldbach Conjecture Is True: 《Open Journal of Discrete Mathematics》2024年第3期29-41,共13页Jie Hou; Let 2m>2, m∈ℤ, be the given even number of the Strong Goldbach Conjecture Problem. Then, m can be called the median of the problem. So, all Goldbach partitions (p,q)exist a relationship, p=m−dand q=m+d, where p≤qand...; 关键词：MEDIAN The Feasible Goldbach Partitions The Optimal Goldbach Partitions CONGRUENCES Effacement

Principal Equatorial Null Geodesic Congruences in the Kerr Metric, and Their Quantum Propagators: 《Journal of High Energy Physics, Gravitation and Cosmology》2024年第3期906-917,共12页Josué G. Mateos Trujillo Miguel Socolovsky; Using the Raychaudhuri equation, we associate quantum probability amplitudes (propagators) to equatorial principal ingoing and outgoing null geodesic congruences in the Kerr metric. The expansion scalars diverge at th...; 关键词：Kerr Metric Principal Null Geodesics PROPAGATORS

Congruences Involving Hecke-Rogers Type Series and Modular Forms: 《Journal of Mathematical Study》2023年第2期147-155,共9页Guo-Shuai Mao Yan Liu; supported by the National Natural Science Foundation of China(Grant No.12001288);China Scholarship Council(Grant No.202008320187).; In this paper,we prove two supercongruences of Hecke-Rogers type series and Modular forms conjectured by Chan,Cooper and Sica,such as,if z_(2)∞∑m=-∞n=-∞,q^(m^(2+n^(2))),x_(2)=η^(12)(2ι)/_(2)^(6)and z_(2)=∞∑n=0...; 关键词：Supercongruences mordular forms Hecke-Rogers type series p-adic Gamma function

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

One Class of the Least Congruences on Completely Regular Semigroups: 《Journal of Donghua University(English Edition)》2021年第3期278-282,共5页ZHANG Jiangang SHEN Ran; National Natural Science Foundation of China(No.11671056);General Science Foundation of Shanghai Normal University,China(No.KF201840)。; Congruence is a very important aspect in the study of the semigroup theory.In general,the Kernel-trace characterizations,Green's relations and subvarieties are main tools in the consideration of congruences on complet...; 关键词：completely regular semigroup Clifford congruence translational hull wreath product ORTHOGROUP

Infinite Families of Congruences for 3-Regular Partitions with Distinct Odd Parts: 《Communications in Mathematics and Statistics》2020年第4期443-451,共9页Nipen Saikia; Let pod_(3)(n)denote the number of 3-regular partitions with distinct odd parts(and even parts are unrestricted)of a non-negative integer n.In this paper,we present infinite families of Ramanujan-type congruences modu...; 关键词：3-Regularpartition Distinct oddparts CONGRUENCE

Super Congruences Involving Alternating Harmonic Sums: 《Advances in Pure Mathematics》2020年第10期611-622,共12页Zhongyan Shen Tianxin Cai; Let p be an odd prime, the harmonic congruence such as , and many different variations and generalizations have been studied intensively. In t...; 关键词：Bernoulli Numbers Alternating Harmonic Sums CONGRUENCES Modulo Prime Powers

CONGRUENCES