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math.NT2025
Blocking Sets and Power Residue Modulo Integers with Bounded Number of Prime Factors
Bhawesh Mishra, Paolo Santonastaso
Let be an odd prime and be a natural number. We show that a finite subset of integers that does not contain any perfect power, contains a power residu…
math.NT2025
Prime Power Residues and Blocking Sets
Bhawesh Mishra, Paolo Santonastaso
Let be a fixed odd prime. We show that a finite subset of integers, not containing any perfect power, contains a power modulo almost every prime if and on…
math.NT2020
Linearized trinomials with maximum kernel
Paolo Santonastaso, Ferdinando Zullo
Linearized polynomials have attracted a lot of attention because of their applications in both geometric and algebraic areas. Let be a prime power, be a positive integer an…