@article{Wu2024, 
author = {Liuying Wu},
title = {On a Diophantine equation involving fractional powers with primes of special types},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {16486-16505},
keywords = {almost prime, diophantine equality, fractional powers, exponential sum},
url = {https://www.sciopen.com/article/10.3934/math.2024799},
doi = {10.3934/math.2024799},
abstract = {Suppose that    N is a sufficiently large real number. In this paper it is proved that for    2  <  c  <      990    479  , the Diophantine equation         [          p              1                    c              ]    +      [          p              2                    c              ]    +      [          p              3                    c              ]    +      [          p              4                    c              ]    +      [          p              5                    c              ]    =  Nis solvable in primes        p          1        ,      p          2        ,      p          3        ,      p    4    ,      p    5   such that each of the numbers        p          i        +  2  ,  i  =  1  ,  2  ,  3  ,  4  ,  5 has at most        [          6227              3960        −        1916        c              ]   prime factors.}
}