4 citations · 4 across the 6 of their papers we have counts for
6 papers
Better than square-root cancellation and Gaussian behavior on Piatetski-Shapiro Sequences
Renjie Zhu, Tianping Zhang
In this paper, we investigate whether Harper's better than square-root cancellation phenomenon still appears in Piatetski-Shapiro sequences, and when one should expect only square-…
Cancellations between Kloosterman sums modulo a prime power with prime arguments
Kui Liu, Igor E. Shparlinski, Tianping Zhang
We obtain a nontrivial bound for cancellations between the Kloosterman sums modulo a large prime power with a prime argument running over very short interval, which in turn is base…
Bilinear Forms with Exponential Sums with Binomials
Kui Liu, Igor E. Shparlinski, Tianping Zhang
We obtain several estimates for bilinear form with exponential sums with binomials . In particular we show the existence of nontrivial cancellations between such su…
Squares in Piatetski--Shapiro Sequences
Kui Liu, Igor E. Shparlinski, Tianping Zhang
We study the distribution of squares in a Piatetski-Shapiro sequence with and . We also study more genera…
Divisor problem in arithmetic progressions modulo a prime power
Kui Liu, Igor E. Shparlinski, Tianping Zhang
We obtain an asymptotic formula for the average value of the divisor function over the integers in an arithmetic progression , where for a pri…
Cancellations Amongst Kloosterman Sums
I. E. Shparlinski, T. P. Zhang
We obtain several estimates for bilinear form with Kloosterman sums. Such results can be interpreted as a measure of cancellations amongst with parameters from short intervals. In…