4 papers
On the Carmichael rings, Carmichael ideals and Carmichael polynomials
Sunghan Bae, Su Hu, Min Sha
Motivated by Carmichael numbers, we say that a finite ring is a Carmichael ring if for any . We then call an ideal of a ring as a Carmichael ideal…
Average values of L-functions in even characteristic
Sunghan Bae, Hwanyup Jung
Let be the rational function field over a finite field , where is a power of . In this paper we solve the problem of averaging the qu…
Average Values of -series for Real Characters in Function Fields
Julio C. Andrade, Sunghan Bae, Hwanyup Jung
We establish asymptotic formulae for the first and second moments of quadratic Dirichlet --functions, at the centre of the critical strip, associated to the real quadratic funct…
Irreducible representations and Artin L-functions of quasi-cyclotomic fields
Sunghan Bae, Yong Hu, Linsheng Yin
We determine all irreducible representations of primary quasi-cyclotomic fields in this paper. The methods can be applied to determine the irreducible representations of any quasi-…