Distribution of exponential functions with k-full exponent modulo a prime |
| |
| Authors: | Michael Dewar Daniel Panario Igor E Shparlinski |
| |
| Institution: | aSchool of Mathematics and Statistics, Carleton University, Ottawa, Ontario KIS 5B6, Canada;bDepartment of Computing, Macquarie University, Sydney, NSW 2109, Australia |
| |
| Abstract: | For a real x -1 we denote by SkX] the set of k-full integers n x, that is, the set of positive integers n x such that ℓk|n for any prime divisor ℓ|n. We estimate exponential sums of the form where is a fixed integer with gcd (, p) = 1, and apply them to studying the distribution of the powers n, n Skx], in the residue ring modulo p 1. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
