Showing math.NTShow all
3 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 , and a root of an irreducible polynomial over (in some algebraic closure) the number of roots of lying in is studied here. Given such an $f(x)…