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math.NT2026
Monogenity of the irreducible factors of -Fibonacci and -Lucas polynomials
Michail Karatarakis, Sumandeep Kaur
In this article, we study the monogenity of the number field generated by a root of an irreducible factor of the generalized -Fibonacci and -Lucas polynomial sequence…
math.NT2026
The Index of Composition of polynomials and its applications
Surender Kumar, Sumandeep Kaur
The index of a given monic irreducible polynomial having a root is the index of in the ring of algebraic integers of Furthe…
math.NT2026
A Local Approach to Monogenity with an Application to Lenny Jones' Conjecture
Michail Karatarakis, Sumandeep Kaur
The study of monogenic polynomials is a classical problem in algebraic number theory. Existing criteria for deciding whether a polynomial is monogenic typically rely on discriminan…