4 papers
math.NT2022
Consecutive Piatetski-Shapiro primes based on the Hardy-Littlewood conjecture
Victor Z. Guo, Yuan Yi
The Piatetski-Shapiro sequences are of the form with . In this paper, we study the distribu…
math.NT2019
On the mean value of the generalized Dirichlet L-functions with the weight of the Gauss Sums
Rong Ma, Yana Niu
Let be an integer, denote a Dirichlet character modulo , for any real number , we define the generalized Dirichlet -functions $$ L(s,χ,a)=\sum_{n=1}^{\inf…
math.NT2011
A note on the moments of Kloosterman sums
Ping Xi, Yuan Yi
In this note, we deduce an asymptotic formula for even power moments of Kloosterman sums based on the important work of N. M. Katz on Kloosterman sheaves. In a similar manner, we c…
math.NT2009
On character sums over flat numbers
Ping Xi, Yuan Yi
Let be an integer, be any non-principal character mod , and In this paper the authors prove some estimates for character sums of the form…