Exponential sums over cubes of primes in short intervals and its applications
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02649-8
Abstract: In this paper, we treat the estimate on exponential sums over cubes of primes in short intervals, and improve a previous bound of Kumchev (in: Number Theory: Arithmetic in Shangri-La (Proc. China-Japan Seminar Number Theory),… read more here.
Keywords: exponential sums; cubes primes; sums cubes; intervals applications ... See more keywords
On perfect powers that are sums of cubes of a seven term arithmetic progression
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2020.04.020
Abstract: Abstract We prove that the equation ( x − 3 r ) 3 + ( x − 2 r ) 3 + ( x − r ) 3 + x 3 + ( x +… read more here.
Keywords: term arithmetic; cubes seven; seven term; sums cubes ... See more keywords