The Maximal Difference of Different Powers of an Element Modulo n
In this paper, we investigate the maximal difference of integer powers of an element modulo n. Let an denote the integer b with 1≤b≤n such that a≡bmod n for any integer a. Using the bounds for exponential sums, we obtain a lower bound of the function Hm1,m2n:=maxam1n−am2n:1≤a≤n,a,n=1, which gives n−...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/8002211 |