3 citations · 5 across the 7 of their papers we have counts for
7 papers
Polynomials with factors of the form with roots modulo every integer
Bhawesh Mishra
Given an odd prime , a natural number and non-zero -free integers , none of which are equal to or , we give necessary and sufficient…
Almost No Finite Subset of Integers Contains a Power Modulo Almost Every Prime
Bhawesh Mishra
Let be a prime. We give an elementary proof of the fact that for any , the proportion of -element subsets of that contain a power modul…
Prime Power Residue and Linear Coverings of Vector Space over
Bhawesh Mishra
Let be an odd prime and be a finite set of nonzero integers that does not contain a perfect power. We show that has a power modu…
Polynomials over Ring of Integers of Global Fields that have Roots Modulo Every Finite Indexed Subgroup
Bhawesh Mishra
A polynomial with coefficients in the ring of integers of a global field is called intersective if it has a root modulo every finite-indexed subgroup of $\mat…
Intersective Polynomials Arising from Sums of Powers
Bhawesh Mishra
Given a natural number , an integer and for a judiciously chosen we give necessary and sufficient conditions for the polynomial $f_{n,k} = \big( \sum_{i=1}…
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…
Minimally Intersective Polynomials with Arbitrarily Many Quadratic Factors
Bhawesh Mishra
Given a natural number we show that there exists infinitely many polynomials such that (i) has a root modulo ever…