M. Krithika

activity

20212025

collaborators

Showing math.NTShow all

4 papers · 1 filter

math.NT2025

On Variants of Inverse Cluster Size Problem & General Magnification

Shubham Jaiswal, M Krithika, P Vanchinathan

In this article we establish certain variants of the Inverse Cluster Size problem. We introduce the notion of primitive extensions and establish the Primitive variant of the proble…

math.NT2025

Inflated G-Extensions for Algebraic Number Fields

M Krithika, P Vanchinathan

In 2018, Legrand and Paran proved a weaker form of the Inverse Galois Problem for all Hilbertian fields and all finite groups: that is, there exist possibly non-Galois extensions o…

math.NT2023

An Elementary Problem in Galois Theory about the Roots of Irreducible Polynomials

M Krithika, P Vanchinathan

For a field $K$ , and a root $α$ of an irreducible polynomial over $K$ (in some algebraic closure) the number of roots of $f (x)$ lying in $K (α)$ is studied here. Given such an $f(x)…

math.NT2021

An Infinite, Two-parameter Family of Polynomials with Factorization Similar to $X^{m} - 1$

P Vanchinathan, Krithika M

For a suitable irreducible \textit{base} polynomial $f (x) \in Z [x]$ of degree $k$ , a family of polynomials $F_{m} (x)$ depending on $f (x)$ is constructed with the properties:…

On Variants of Inverse Cluster Size Problem & General Magnification

Inflated G-Extensions for Algebraic Number Fields

An Elementary Problem in Galois Theory about the Roots of Irreducible Polynomials

An Infinite, Two-parameter Family of Polynomials with Factorization Similar to Xm−1

An Infinite, Two-parameter Family of Polynomials with Factorization Similar to $X^{m} - 1$