6 citations · 16 across the 25 of their papers we have counts for
5 papers · 1 filter
Mean value theorems for a class of density-like arithmetic functions
Lucas Reis
This paper provides a mean value theorem for arithmetic functions defined by where is an arithmetic function taking values in and satisfy…
Construction of irreducible polynomials through rational transformations
Daniel Panario, Lucas Reis, Qiang Wang
Let be the finite field with elements, where is a power of a prime. We discuss recursive methods for constructing irreducible polynomials over o…
Permutations from an arithmetic setting
Lucas Reis, Sávio Ribas
Let be positive integers such that divides . In this paper, we introduce a special class of piecewise-affine permutations of the finite set $[1, n]:=\{1, \ldots, n\…
Factorization of composed polynomials and applications
F. E. Brochero Martínez, Lucas Reis, Lays Silva
Let be the finite field with elements, where is a prime power and be a positive integer. In this paper, we explore the factorization of over $…
Dynamics of the -map over residually finite Dedekind Domains and applications
Claudio Qureshi, Lucas Reis
Let be a residually finite Dedekind domain, be a nonzero element and be a nonzero ideal of . In this paper we describe t…