Showing math.NTShow all
3 papers · 1 filter
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 sums of -th powers with almost equal primes
Wei Zhang
For "almost all" sufficiently large satisfying necessary congruence conditions and , we show that there is an {\bf asymptotic formula} for the number of solutions of…