2 papers
math.NT2025
Irreducibility and locus of complex roots of polynomials related to Fermat's Last Theorem
Hayk Karapetyan, Ruben Hambardzumyan
We study the polynomials , whose rational roots would yield counterexamples to Fermat's Last Theorem. We investigate their factorization over…
math.NT2025
On ideal class groups of totally degenerate number rings
Ruben Hambardzumyan, Mihran Papikian
Let be a monic polynomial whose roots are distinct integers. We study the ideal class monoid and the ideal class group of the ring . W…