Hayk Karapetyan

collaborators

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 $x^{n} + (1 - x)^{n} + a^{n}, a \in Q$ , whose rational roots would yield counterexamples to Fermat's Last Theorem. We investigate their factorization over…

math.NT2025

On a property of the polynomials $x^{n} + (1 - x)^{n} + a^{n}$

Hayk Karapetyan

The polynomials $x^{n} + (1 - x)^{n} + a^{n}$ arise naturally from FLT (Fermat's Last Theorem). We formulate a conjecture about them which is a generalization of FLT. We investigate the co…

Irreducibility and locus of complex roots of polynomials related to Fermat's Last Theorem

On a property of the polynomials xn+(1−x)n+an

On a property of the polynomials $x^{n} + (1 - x)^{n} + a^{n}$