Tapas Chatterjee

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math.NT2025

On characterization of prime divisors of the index of a quadrinomial

Tapas Chatterjee, Karishan Kumar

Let $I^¸$ be an algebraic integer and $f (x) = x^{n} + a x^{n - 1} + b x + c$ be the minimal polynomial of $I^¸$ over the rationals. Let $K = Q (I^¸)$ be a number field and $O_{K}$ …

math.NT2025

On characterization of Monogenic number fields associated with certain quadrinomials and its applications

Tapas Chatterjee, Karishan Kumar

Let $f (x) = x^{n} + a x^{3} + b x + c$ be the minimal polynomial of an algebraic integer $I^¸$ over the rationals with certain conditions on $a, b, c,$ and $n .$ Let $K = Q (I^¸)$ be a nu…