|
|
| |
| On a Conjecture of Sun Involving Powers of Three |
| |
Citation： |
Quan-Hui YANG ·,Lilu ZHAO.On a Conjecture of Sun Involving Powers of Three[J].Chinese Annals of Mathematics B,2026,(5):899~910 |
| Page view： 3
Net amount： 5 |
Authors： |
Quan-Hui YANG ·; Lilu ZHAO |
Foundation： |
the National Key Research and Development Program of China (No.
2021YFA1000701) and the National Natural Science Foundation of China (Nos. 12371005, 12471008) |
|
|
| Abstract： |
Given a positive integer n ≥ 2, let D(n) denote the smallest positive integer
m such that a3 + a (a = 1, · · · , n) are pairwise distinct modulo m2. A conjecture of Sun
states that D(n) = 3k, where 3k is the least power of 3 no less than √n. The purpose of
this paper is to confirm this conjecture. |
Keywords： |
Congruence Gauss sum Quadratic residue Kloosterman sum |
Classification： |
11A07, 11L05 |
|
|
Download PDF Full-Text
|
