Bhawesh Mishra

activity

20242026

collaborators

4 papers

math.NT2026

Simultaneous Periods for Families of Rational Maps Modulo Primes

Bhawesh Mishra

Let $K$ be a number field, and $φ_{1}, \dots, φ_{g} \in K (t)$ be finitely many rational maps, each of degree at least $2$ . We first show that for generic finite sets $\mathcal{A}_{1}…

math.NT2025

Blocking Sets and Power Residue Modulo Integers with Bounded Number of Prime Factors

Bhawesh Mishra, Paolo Santonastaso

Let $q$ be an odd prime and $k$ be a natural number. We show that a finite subset of integers $S$ that does not contain any perfect $q^{t h}$ power, contains a $q^{t h}$ power residu…

math.NT2025

Prime Power Residues and Blocking Sets

Bhawesh Mishra, Paolo Santonastaso

Let $q$ be a fixed odd prime. We show that a finite subset $B$ of integers, not containing any perfect $q^{t h}$ power, contains a $q^{t h}$ power modulo almost every prime if and on…

math.NT2024

A Generalization of the Grunwald-Wang Theorem for $n^{t h}$ Powers

Bhawesh Mishra

Let $n$ be a natural number greater than $2$ and $q$ be the smallest prime dividing $n$ . We show that a finite subset $A$ of rationals, of cardinality at most $q$ , contains a $n^{t…

Simultaneous Periods for Families of Rational Maps Modulo Primes

Blocking Sets and Power Residue Modulo Integers with Bounded Number of Prime Factors

Prime Power Residues and Blocking Sets

A Generalization of the Grunwald-Wang Theorem for nth Powers

A Generalization of the Grunwald-Wang Theorem for $n^{t h}$ Powers