3 papers
math.NT2025
Supercharacters of finite abelian groups and applications to spectra of -unitary Cayley graphs
Tung T. Nguyen, Nguyen Duy Tân
We define super-Cayley graphs over a finite abelian group . Using the theory of supercharacters on , we explain how their spectra can be realized as a super-Fourier transform…
math.NT2025
On gcd-graphs over finite rings
Tung T. Nguyen, Nguyen Duy Tân
Gcd-graphs represent an interesting and historically important class of integral graphs. Since the pioneering work of Klotz and Sander, numerous incarnations of these graphs have b…
math.RA2023
A Note on Finite Number Rings
Suk-Geun Hwang, Woo Jeon, Ki-Bong Nam +1
We define the finite number ring where are positive integers and in an integer akin to the definition of the Gaussian integer . Th…