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math.NT2018★ 2 cited
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…
math.NT2018
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…