@article{Ren2024, 
author = {Yixin Ren and Huaning Liu},
title = {On the correlation of  k symbols},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {21455-21470},
keywords = {pseudorandom sequence, k symbol, correlation measure},
url = {https://www.sciopen.com/article/10.3934/math.20241042},
doi = {10.3934/math.20241042},
abstract = {In 2002 Mauduit and Sárközy started to study finite sequences of  k symbols   EN=(e1,e2,⋯,eN)∈AN,where   A={a1,a2,⋯,ak},(k∈N,k≥2)is a finite set of  k symbols. Bérczi estimated the pseudorandom measures for a truly random sequence  EN of  k symbol. In this paper, we shall study the minimal values of correlation measures for the sequences of  k symbols, developing the methods similar to those introduced by Alon, Anantharam, Gyarmati, and Schmidt, among others.}
}