B. Mishra

activity

20212024

most citedPolynomials Consisting of Quadratic Factors with Roots Modulo Any Positive Integer

3 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

Intersective Polynomials Arising from Sums of Powers

Bhawesh Mishra

Given a natural number $n \geq 2$ , an integer $k$ and for a judiciously chosen $l = l (n)$ we give necessary and sufficient conditions for the polynomial $f_{n,k} = \big( \sum_{i=1}…

math.NT2021★ 3 cited

Polynomials Consisting of Quadratic Factors with Roots Modulo Any Positive Integer

Bhawesh Mishra

We give an infinite family of polynomials that have roots modulo every positive integer but fail to have rational roots. Each polynomial in this family is made up of monic quadrati…

math.NT2021

Minimally Intersective Polynomials with Arbitrarily Many Quadratic Factors

Bhawesh Mishra

Given a natural number $n \geq 4$ we show that there exists infinitely many polynomials $f_{n} (x) := \prod_{i = 1}^{n} (x^{2} - a_{i})$ such that (i) $f_{n} (x)$ has a root modulo ever…