Prabhakar Yadav

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20242026

most citedA Study of monogenity of Binomial Composition

1 citations · 1 across the 6 of their papers we have counts for

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math.NT2026

On The Index of Polynomial Compositions over Valued Fields

Anuj Jakhar, Ravi Kalwaniya, Shanta Laishram +1

Determining whether an algebraic number field admits a power integral basis is a classical problem, but it can be difficult for fields defined by polynomial compositions and dynami…

math.NT2026

Power Integral Bases in Polynomial Compositions

Aakash Choudhary, Supriya Pisolkar, Prabhakar Yadav

In this paper, we study the monogeneity of a special class of composed polynomials of the form $(f \circ g) (x) = (x^{m} + c)^{n} + a (x^{m} + c)^{n - 1} + d (x^{m} + c)^{n - 2} + b,$ where \( f…

math.NT2026

Monogenic Fields from Polynomial Compositions with Applications

Anuj Jakhar, Ravi Kalwaniya, Prabhakar Yadav

A number field $K$ is called \emph{monogenic} if its ring of integers $Z_{K}$ can be expressed as a simple ring extension $Z [α]$ for some $α \in Z_{K}$ . A mon…

math.NT2026

Arithmetic Aspects of Number Fields Generated by Polynomial Families

Rupam Barman, Anuj Jakhar, Ravi Kalwaniya +1

Let $f (x) = (x^{k} + c)^{m} - a x^{n} \in Z [x]$ be an irreducible polynomial over $Q$ , where $k, m, n \in N$ with $k m > n$ , and let $K = Q (θ)$ , where $θ$ is a ro…