3 papers
math.NT2026
Norm Principles for and
Priyabrata Mandal
The aim of this article is to discuss the proof that the norm principle holds for the group of similitudes and the spinor group for a quadratic form $…
math.NT2026
An Algebraic Approach to the Fundamental Theorem of Algebra
Priyabrata Mandal, Sajad A. Sheikh
In this paper, we investigate the algebraic counterpart of the Fundamental Theorem of Algebra. We explore the concept of real closed fields and quadratic forms. We show, by means o…
math.NT2026
Totally positive field extensions and the pythagorean index
Priyabrata Mandal, Preeti Raman, Abhay Soman
For a formally real field , we study totally positive field extensions over . We show that, if is Galois and totally positive then so is the corresponding extensio…