3 papers
math.NT2016
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…
math.NT2016
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…
math.NT2016
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…