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
Bombieri-type theorems of nonlinear Weyl sums over primes in short intervals
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Number Theory"
DOI: 10.1142/s1793042118501531
Abstract: In this paper, we consider the mean-value estimate for nonlinear Weyl sums over primes in short intervals and establish the related Bombieri-type theorems. These results have applications in additive problems with prime variables in short… read more here.
Keywords: nonlinear weyl; sums primes; bombieri type; short intervals ... See more keywords