S. K. Khanduja

activity

20132023

most citedSome irreducibility results for truncated binomial expansions

10 citations · 10 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2023

An extension of Schur's irreducibility result

Ankita Jindal, Sudesh Kaur Khanduja

Let $n \geq 2$ be an integer. Let $ϕ (x)$ belonging to $Z [x]$ be a monic polynomial which is irreducible modulo all primes less than or equal to $n$ . Let $a_0(x), a_1(x), \d…

math.NT2020

Discriminant and Integral basis of sextic fields defined by x^6+ax+b

Sumandeep Kaur, Sudesh Kaur Khanduja

Let $K = Q (θ)$ be an algebraic number field with $θ$ a root of an irreducible trinomial $f (x) = x^{6} + a x + b$ belonging to $Z [x]$ . In this paper, for each prime number $p$ …

math.NT2020

On integral basis of pure number fields

Anuj Jakhar, Sudesh K. Khanduja, Neeraj Sangwan

Let $K = Q (n a)$ be an extension of degree $n$ of the field $\Q$ of rational numbers, where the integer $a$ is such that for each prime $p$ dividing $n$ either $p\nm…

math.NT2020

On the discriminant of pure number fields

Anuj Jakhar, Sudesh K. Khanduja, Neeraj Sangwan

Let $K = Q (n a)$ be an extension of degree $n$ of the field $\Q$ of rational numbers, where the integer $a$ is such that for each prime $p$ dividing $n$ either $p\nm…

math.NT2013★ 10 cited

Some irreducibility results for truncated binomial expansions

Sudesh K. Khanduja, Ramneek Khassa, Shanta Laishram

For positive integers $n > k$ , let $P_{n, k} (x) = j = 0 \sum k (j n) x^{j}$ be the polynomial obtained by truncating the binomial expansion of $(1 + x)^{n}$ at the $k^{th}…