Geodesic
On growth of the set \(A(A+1)\) in arbitrary finite fields
The electronic journal of combinatorics, Tome 27 (2020) no. 4
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

Let $\mathbb{F}_q$ be a finite field of order $q$, where $q$ is a power of a prime. For a set $A \subset \mathbb{F}_q$, under certain structural restrictions, we prove a new explicit lower bound on the size of the product set $A(A + 1)$. Our result improves on the previous best known bound due to Zhelezov and holds under more relaxed restrictions.
DOI : 10.37236/8496
Classification : 11B75, 11B30
Mots-clés : sum-product, finite fields, products and shifts 
@article{10_37236_8496,
     author = {Ali Mohammadi},
     title = {On growth of the set {\(A(A+1)\)} in arbitrary finite fields},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {4},
     doi = {10.37236/8496},
     zbl = {1480.11029},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/8496/}
}
TY  - JOUR
AU  - Ali Mohammadi
TI  - On growth of the set \(A(A+1)\) in arbitrary finite fields
JO  - The electronic journal of combinatorics
PY  - 2020
VL  - 27
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.37236/8496/
DO  - 10.37236/8496
ID  - 10_37236_8496
ER  - 
%0 Journal Article
%A Ali Mohammadi
%T On growth of the set \(A(A+1)\) in arbitrary finite fields
%J The electronic journal of combinatorics
%D 2020
%V 27
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/8496/
%R 10.37236/8496
%F 10_37236_8496
Ali Mohammadi. On growth of the set \(A(A+1)\) in arbitrary finite fields. The electronic journal of combinatorics, Tome 27 (2020) no. 4. doi: 10.37236/8496

Cité par Sources :