Wei Zhang

collaborators

6 papers

math.NT2023

On general divisor functions over Piatetski-Shapiro sequences

Wei Zhang

In this paper, we consider the general divisor functions over Piatetski-Shapiro sequences. We can give some general results which contain some special divisor functions. Precisely,…

math.NT2022

On squares associated to the Piatetski-Shapiro sequences

Wei Zhang

We can give a slight improvement for a result related to the distribution of squares in Piatetski-Shapiro sequences of Liu-Shparlinski-Zhang \cite{lsz} by involving three different…

math.NT2022

On $k$ -free numbers over Beatty sequences

Wei Zhang

In this paper, we consider $k$ -free numbers over Beatty sequences. New results are given.

math.NT2022

On primes in special sequences with applications to Carmichael numbers

Wei Zhang

By involving some exponential sums related to $Λ (n)$ in arithmetic progression, we can obtain some new results for von Mangoldt function over {\bf nonhomogeneous} Beatty sequences…

math.NT2022

On sums of $k$ -th powers with almost equal primes

Wei Zhang

For "almost all" sufficiently large $N,$ satisfying necessary congruence conditions and $k \geq 2$ , we show that there is an {\bf asymptotic formula} for the number of solutions of…

math.NT2022

On an exponential sum related to the Möbius function

Wei Zhang

Let $μ (n)$ be the Möbius function and $e (α) = e^{2 π i α}$ . In this paper, we study upper bounds of the classical sum $S (x, α) := 1 \leq n \leq x \sum μ (n) e (α n) .$ We can improve some clas…

On general divisor functions over Piatetski-Shapiro sequences

On squares associated to the Piatetski-Shapiro sequences

On k-free numbers over Beatty sequences

On primes in special sequences with applications to Carmichael numbers

On sums of k-th powers with almost equal primes

On an exponential sum related to the Möbius function

On $k$ -free numbers over Beatty sequences

On sums of $k$ -th powers with almost equal primes