6 papers · 1 filter
Genus theory and Euclidean ideals for real biquadratic fields
Su Hu, Yan Li
In this paper, we use the theory of genus fields to study the Euclidean ideals of certain real biquadratic fields Comparing with the previous works, our methods yield a new la…
A new family of biquadratic fields having a non-principal euclidean ideal class
Su Hu, Yan Li
In this paper, based on the theory of genus fields of biquadartic fields, we find a new larger family of biquadratic fields having a non-principal Euclidean ideal class, which impl…
An analogue of Kummer's relation between the ideal class number and the unit index of cyclotomic fields
Su Hu, Min-Soo Kim, Yan Li
In this paper, we obtain a formula for the special value of Euler-Dirichlet -function at . This leads to another class number formula of ,…
On Menon-Sury's identity with several Dirichlet characters
Man Chen, Su Hu, Yan Li
The Menon-Sury's identity is as follows: \begin{equation*} \sum_{\substack{1 \leq a, b_1, b_2, \ldots, b_r \leq n\\\mathrm{gcd}(a,n)=1}} \mathrm{gcd}(a-1,b_1, b_2, \ldots, b_r,n)=φ…
Gauss sums of some matrix groups over
Su Hu, Guoxing He, Yingtong Meng +1
In this paper, we will explicitly calculate Gauss sums for the general linear groups and the special linear groups over , where and is an…
Gauss sums over some matrix groups
Yan Li, Su Hu
In this note, we give explicit expressions of Gauss sums for general (resp. special) linear groups over finite fields, which involves Gauss sums (resp. Kloosterman sums). The key i…