supported by National Natural Science Foundation of China(Grant No.12171397);Panyue Zhou was supported by National Natural Science Foundation of China(Grant No.12371034);the Hunan Provincial Natural Science Foundation of China(Grant No.2023JJ30008)。
Let(B,E,s)be an extriangulated category and S be an extension closed subcategory of B.In this article,we prove that the Gabriel-Zisman localization B/S can be realized as an ideal quotient inside B when S satisfies so...
supported by the Spanish Government (Grant No. PID2020-113206GBI00, funded by MCIN/AEI/10.13039/501100011033);Junta de Andalucia (Grant No. P20-00770)。
Let R be a ring, Proj be the class of all the projective right R-modules, K be the full subcategory of the homotopy category K(Proj) whose class of objects consists of all the totally acyclic complexes, and MorK be th...
supported by the Scientific Research Fund of Hunan Provincial Education Department(21B0070);the Natural Science Foundation of Jiangsu Province(BK20231452);the Fundamental Research Funds for the Central Universities(30922010809);the National Natural Science Foundation of China(11801591,11971195,12071171,12171107,12201207,12371072)。
For each real number x∈(0,1),let[a_(1)(x),a_(2)(x),…,a_n(x),…]denote its continued fraction expansion.We study the convergence exponent defined byτ(x)=inf{s≥0:∞∑n=1(a_(n)(x)a_(n+1)(x))^(-s)<∞},which reflects t...
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,...
supported by National Natural Science Foundation of China(Grant Nos.12171172 and 11831007)。
The existence of large partial quotients destroys many limit theorems in the metric theory of continued fractions.To achieve some variant forms of limit theorems,a common approach mostly used in practice is to discard...
supported by Guangdong Major Project of Basic and Applied Basic Research(2019B030302008);the National Natural Science Foundation of China(61972428);the Open Fund of State Key Laboratory of Information Security(Institute of Information Engineering,Chinese Academy of Sciences)(2020-ZD-02);Guangdong Basic and Applied Basic Research Foundation(2019A1515011797).
In this paper,a family of binary sequences derived from Euler quotients with RSA modulus pq is introduced.Here two primes p and q are distinct and satisfy gcd(pq,(p−1)(q−1))=1.The linear complexities and minimal polyn...
Diophantine equations have always fascinated mathematicians about existence, finitude, and the calculation of possible solutions. Among these equations, one of them will be the object of our research. This is the Pyth...
Partially supported by the NSFC(11971112);China ScholarshipCouncil(202106100095).
The purpose of this paper is to represent the cohomology ring of a moment-angle manifold over an m-gon explicitly in terms of the quotient of an exterior algebra,and to count the Betti numbers of the cohomology groups...
It is already known that finitely-generated Fuchsian groups are profinitely rigid among all lattices of connected Lie groups by the result of Bridson,Conder and Reid.Hence the triangle groups are distinguished among t...
supported by National Natural Science Foundation of China(Grant No.11671063);a grant from the Simons Foundation(Grant No.280770 to Thomas M.Keller);a grant from the Simons Foundation(Grant No.499532 to Yong Yang)。
Let G be a finite group,and let V be a completely reducible faithful finite G-module(i.e.,G≤GL(V),where V is a finite vector space which is a direct sum of irreducible G-submodules).It has been known for a long time ...