P. Mandal

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20242026

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math.NT2026

Spectral Algebras of Abelian Cayley Graphs

Deep Bhattacharjee, Priyabrata Mandal, Ushashi Bhattacharya

Let $G$ be a finite abelian group of order $N$ , $S \subseteq G ∖ {0}$ a symmetric connection set, and $K$ a field with $c ha r (K) ∤ N$ . The spectral algebra $\mathscr{A…

math.NT2026

Norm Principles for $Go (q)$ and $Spin (q)$

Priyabrata Mandal

The aim of this article is to discuss the proof that the norm principle holds for the group of similitudes $Go (q)$ and the spinor group $Spin (q)$ 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 $F$ , we study totally positive field extensions $K$ over $F$ . We show that, if $K / F$ is Galois and totally positive then so is the corresponding extensio…

Spectral Algebras of Abelian Cayley Graphs

Norm Principles for Go(q) and Spin(q)

An Algebraic Approach to the Fundamental Theorem of Algebra

Totally positive field extensions and the pythagorean index

Norm Principles for $Go (q)$ and $Spin (q)$