@article{Li2022, 
author = {Weiping Li and Guohua Chen},
title = {The integer part of nonlinear forms with prime variables},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {1147-1154},
keywords = {prime variables, Diophantine approximation, Davenport-Heilbronn method},
url = {https://www.sciopen.com/article/10.3934/math.2022067},
doi = {10.3934/math.2022067},
abstract = {In this paper, we discuss problems that integer part of nonlinear forms with prime variables represent primes infinitely. We prove that under suitable conditions there exist infinitely many primes        p    j    ,  p such that    [      λ    1        p    1    2    +      λ    2        p    2    2    +      λ    3        p    3    k    ]  =  p and    [      λ    1        p    1    3    +  ⋯  +      λ    4        p    4    3    +      λ    5        p    5    k    ]  =  p with    k  ≥  2 and    k  ≥  3 respectively, which improve the author's earlier results.}
}