33 citations · 343 across the 69 of their papers we have counts for
49 papers · 1 filter
A septic covariant and the Hermite--Joubert problem in degree seven
Sunil Chebolu, Ján Mináč, Behzad Nikzad +1
We prove the degree-seven case of the Hermite--Joubert problem in characteristic zero: if is a field of characteristic zero and is a field extension of degree seven, then…
Isomorphic gcd-graphs over polynomial rings
Ján Mináč, Tung T. Nguyen, Nguyen Duy Tân
Gcd-graphs over the ring of integers modulo are a simple and elegant class of integral graphs. The study of these graphs connects multiple areas of mathematics, including graph…
Fekete polynomials of principal Dirichlet characters
Shiva Chidambaram, Ján Mináč, Tung T. Nguyen +1
Fekete polynomials associated to quadratic Dirichlet characters have interesting arithmetic properties, and have been studied in many works. In this paper, we study a seemingly sim…
On the arithmetic of generalized Fekete polynomials
Ján Mináč, Tung T. Nguyen, Nguyen Duy Tân
For each prime number one can associate a Fekete polynomial with coefficients or except the constant term, which is 0. These are classical polynomials that have been s…
Galois module structure of some elementary -abelian extensions
Lauren Heller, Jan Minac, Tung T. Nguyen +2
We determine the Galois module structure of the parameterizing space of elementary -abelian extensions of a field when is any finite -group, under the a…
Quaternion algebras and square power classes over biquadratic extensions
Frank Chemotti, Jan Minac, Tung T. Nguyen +3
Recently the Galois module structure of square power classes of a field has been computed under the action of in the case where is the Klein…