Supported in part by NSFC (Nos.12401011,12201214);National Key Research and Development Program of China (No.2021YFA1000700);Natural Science Basic Research Program of Shaanxi (Nos.2023-JC-QN-0024,2023-JC-YB-077);Foundation of Shaanxi Educational Committee (No.2023-JCYB-013);Shaanxi Fundamental Science Research Project for Mathematics and Physics (Nos.23JSQ053,22JSQ010);Scientific Research Foundation of WNU。
Let K_(3) be a non-normal cubic extension over Q.In this paper,we investigate the higher moments of the coefficients a_(K_(3))(n) of Dedekind zeta function over sum of two squares of the following types■ where l≥9 i...
National Natural Science Foundation of China(Nos.12171083,11871145 and 12071070);Qing Lan Project of Jiangsu Province,and the Postgraduate Research and Practice Innovation Program of Jiangsu Province(No.KYCX21_0078).
We give some new characterizations of strongly one-sided(b,c)-invertibility of elements in rings,and establish the relations between one-sided(b,c)-inverses and strongly one-sided(b,c)-inverses.When b=c,Kaplansky's th...
Let G be a finite group,H be a nonnormal subgroup of G.The subgroup H^(G)=is called the normal closure of H in G.Let Δ(G)={|HG||H 5 G}.G is called aΔk-group if |Δ(G)|=k.AΔ_(k-p)-group means G is both a...
The goal of this paper is to show that there are infinitely many number fields K/Q, for which there is no inert prime p ∈ N*, i.e. ∀p ∈ N* a prime number, prime ideal of K such that where: Zk is the Dede...
Supported by the National Natural Science Foundation of China(Grant No.11661023);the Service Industry Development Guide of Guizhou Province(Grant No.Qian Fa Gai Fu Wu[2018]1181)。
Let G be a finite group and N(G)be its norm.Then N(G)is a characteristic subgroup of G which normalizes every subgroup of G.In this paper,we will study the structure of G under one of the following conditions:1)norm q...