7 papers
A reciprocity on finite abelian groups involving zero-sum sequences II
Mao-Sheng Li, Hanbin Zhang
Let be a finite abelian group. For any positive integers and , let be the number of elements in of order and be the set of all zero-sum…
On -clean group rings over finite fields
Dongchun Han, Hanbin Zhang
A ring is called clean if every element of is the sum of a unit and an idempotent. Motivated by a question proposed by Lam on the cleanness of von Neumann Algebras, Vaš int…
An improved asymptotic formula for the distribution of irreducible polynomials in arithmetic progressions over Fq
Zhang Zihan, Han Dongchun
Let be a finite field with elements and the ring of polynomials over . Let be coprime polynomials in $\mathbb{…
A reciprocity on finite abelian groups involving zero-sum sequences
Dongchun Han, Hanbin Zhang
In this paper, we present a reciprocity on finite abelian groups involving zero-sum sequences. Let and be finite abelian groups with . For any positive integer…
On an open problem about a class of optimal ternary cyclic codes
Dongchun Han, Haode Yan
Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems and communication systems as they have efficient encoding and decodi…
On generalized Erdős-Ginzburg-Ziv constants of
Dongchun Han, Hanbin Zhang
Let be an additive finite abelian group with exponent . For any positive integer , the -th generalized Erdős-Ginzburg-Ziv constant is defin…