Lucas Reis

Available identifiers

zbMath Open reis.lucasMaRDI QIDQ530391

List of research outcomes

Publication	Date of Publication	Type
The average density of \(k\)-normal elements over finite fields	2023-10-12	Paper
On the functional graph of the power map over finite groups	2023-05-15	Paper
Paley-like graphs over finite fields from vector spaces	2023-04-27	Paper
Counting distinct functional graphs from linear finite dynamical systems	2022-11-08	Paper
Paley-like graphs over finite fields from vector spaces	2022-10-06	Paper
Character sums over affine spaces and applications	2022-08-26	Paper
The existence of \(\mathbb{F}_q\)-primitive points on curves using freeness	2022-06-24	Paper
GENERATORS OF FINITE FIELDS WITH PRESCRIBED TRACES	2022-05-11	Paper
The additive index of polynomials over finite fields	2022-03-03	Paper
On primitive elements of finite fields avoiding affine hyperplanes	2021-11-02	Paper
Arithmetic constraints of polynomial maps through discrete logarithms	2021-09-06	Paper
The existence of $\mathbb{F}_q$-primitive points on curves using freeness	2021-08-16	Paper
Minimal value set polynomials over fields of size 𝑝³	2021-07-28	Paper
Mean value theorems for a class of density-like arithmetic functions	2021-06-09	Paper
Counting distinct functional graphs from linear finite dynamical systems	2021-05-20	Paper
Permutation polynomials from a linearized decomposition	2021-04-27	Paper
On linearly Chinese field extensions	2021-04-13	Paper
On the factorization of iterated polynomials	2021-03-07	Paper
Counting solutions of special linear equations over finite fields	2021-02-18	Paper
On iterations of rational functions over perfect fields	2020-08-06	Paper
Character sums over affine spaces and applications	2020-07-09	Paper
Permutations from an arithmetic setting	2020-06-08	Paper
A note on additive characters of finite fields	2020-05-02	Paper
The dynamics of permutations on irreducible polynomials	2020-04-09	Paper
Construction of irreducible polynomials through rational transformations	2020-02-25	Paper
On the existence and number of invariant polynomials	2020-01-30	Paper
Factorization of composed polynomials and applications	2019-10-17	Paper
ON THE DIMENSION OF PERMUTATION VECTOR SPACES	2019-09-13	Paper
Möbius-like maps on irreducible polynomials and rational transformations	2019-08-15	Paper
Dynamics of the \(a\)-map over residually finite Dedekind domains and applications	2019-07-26	Paper
Existence results on \(k\)-normal elements over finite fields	2019-07-19	Paper
Variations of the primitive normal basis theorem	2019-06-06	Paper
Factorization of a class of composed polynomials	2019-06-06	Paper
The functional graph of linear maps over finite fields and applications	2019-02-20	Paper
A group action on multivariate polynomials over finite fields	2018-04-27	Paper
Existence of primitive 1-normal elements in finite fields	2018-04-27	Paper
Nilpotent linearized polynomials over finite fields and applications	2018-02-15	Paper
The action of \(\mathrm{GL}_2(\mathbb{F}_q)\) on irreducible polynomials over \(\mathbb{F}_q\), revisited	2018-01-12	Paper
Factoring polynomials of the form \(f(x^n) \in \mathbb{F}_q [x\)]	2017-11-21	Paper
On $k$-normal elements over finite fields	2017-10-19	Paper
On the multiplicative order of the roots of \(bX^{q^r + 1} - aX^{q^r} + dX - c\)	2017-09-05	Paper
Invariant theory of a special group action on irreducible polynomials over finite fields	2017-08-22	Paper
A note on primitive $1-$normal elements over finite fields	2017-01-19	Paper
The action of $\rm{GL}_2(\mathbb{F}_q)$ on irreducible polynomials over $\F_q$	2016-08-12	Paper
Elements of high order in Artin-Schreier extensions of finite fields \(\mathbb{F}_q\)	2016-07-29	Paper

Research outcomes over time

Doctoral students

No records found.

Known relations from the MaRDI Knowledge Graph

Property	Value
MaRDI profile type	MaRDI person profile
instance of	human

This page was built for person: Lucas Reis